Fibonacciësque additive sequences for moduli 11 through 20.

modulus 11
period additive sequence
1 [ 0 ]
10 [ 0 1 1 2 3 5 8 2 10 1 ]
10 [ 0 2 2 4 6 10 5 4 9 2 ]
10 [ 0 3 3 6 9 4 2 6 8 3 ]
10 [ 0 4 4 8 1 9 10 8 7 4 ]
10 [ 0 5 5 10 4 3 7 10 6 5 ]
10 [ 0 6 6 1 7 8 4 1 5 6 ]
10 [ 0 7 7 3 10 2 1 3 4 7 ]
10 [ 0 8 8 5 2 7 9 5 3 8 ]
10 [ 0 9 9 7 5 1 6 7 2 9 ]
10 [ 0 10 10 9 8 6 3 9 1 10 ]
5 [ 1 4 5 9 3 ]
10 [ 1 8 9 6 4 10 3 2 5 7 ]
5 [ 2 8 10 7 6 ]
census: 1×1 + 5×2 + 10×11 = 121 = 11×11

`modulus 11`
`period`	`additive sequence`
`1`	`[ 0 ]`
`10`	`[ 0 1 1 2 3 5 8 2 10 1 ]`
`10`	`[ 0 2 2 4 6 10 5 4 9 2 ]`
`10`	`[ 0 3 3 6 9 4 2 6 8 3 ]`
`10`	`[ 0 4 4 8 1 9 10 8 7 4 ]`
`10`	`[ 0 5 5 10 4 3 7 10 6 5 ]`
`10`	`[ 0 6 6 1 7 8 4 1 5 6 ]`
`10`	`[ 0 7 7 3 10 2 1 3 4 7 ]`
`10`	`[ 0 8 8 5 2 7 9 5 3 8 ]`
`10`	`[ 0 9 9 7 5 1 6 7 2 9 ]`
`10`	`[ 0 10 10 9 8 6 3 9 1 10 ]`
`5`	`[ 1 4 5 9 3 ]`
`10`	`[ 1 8 9 6 4 10 3 2 5 7 ]`
`5`	`[ 2 8 10 7 6 ]`
`census: 1×1 + 5×2 + 10×11 = 121 = 11×11`

modulus 12
period additive sequence
1 [ 0 ]
24 [ 0 1 1 2 3 5 8 1 9 10 7 5 0 5 5 10 3 1 4 5 9 2 11 1 ]
24 [ 0 2 2 4 6 10 4 2 6 8 2 10 0 10 10 8 6 2 8 10 6 4 10 2 ]
6 [ 0 3 3 6 9 3 ]
8 [ 0 4 4 8 0 8 8 4 ]
3 [ 0 6 6 ]
24 [ 0 7 7 2 9 11 8 7 3 10 1 11 0 11 11 10 9 7 4 11 3 2 5 7 ]
6 [ 0 9 9 6 3 9 ]
24 [ 1 3 4 7 11 6 5 11 4 3 7 10 5 3 8 11 7 6 1 7 8 3 11 2 ]
24 [ 1 5 6 11 5 4 9 1 10 11 9 8 5 1 6 7 1 8 9 5 2 7 9 4 ]
census: 1×1 + 3×1 + 6×2 + 8×1 + 24×5 = 144 = 12×12

`modulus 12`
`period`	`additive sequence`
`1`	`[ 0 ]`
`24`	`[ 0 1 1 2 3 5 8 1 9 10 7 5 0 5 5 10 3 1 4 5 9 2 11 1 ]`
`24`	`[ 0 2 2 4 6 10 4 2 6 8 2 10 0 10 10 8 6 2 8 10 6 4 10 2 ]`
`6`	`[ 0 3 3 6 9 3 ]`
`8`	`[ 0 4 4 8 0 8 8 4 ]`
`3`	`[ 0 6 6 ]`
`24`	`[ 0 7 7 2 9 11 8 7 3 10 1 11 0 11 11 10 9 7 4 11 3 2 5 7 ]`
`6`	`[ 0 9 9 6 3 9 ]`
`24`	`[ 1 3 4 7 11 6 5 11 4 3 7 10 5 3 8 11 7 6 1 7 8 3 11 2 ]`
`24`	`[ 1 5 6 11 5 4 9 1 10 11 9 8 5 1 6 7 1 8 9 5 2 7 9 4 ]`
`census: 1×1 + 3×1 + 6×2 + 8×1 + 24×5 = 144 = 12×12`

modulus 13
period additive sequence
1 [ 0 ]
28 [ 0 1 1 2 3 5 8 0 8 8 3 11 1 12 0 12 12 11 10 8 5 0 5 5   10 2 12 1 ]
28 [ 0 2 2 4 6 10 3 0 3 3 6 9 2 11 0 11 11 9 7 3 10 0 10 10    7 4 11 2 ]
28 [ 0 4 4 8 12 7 6 0 6 6 12 5 4 9 0 9 9 5 1 6 7 0 7 7    1 8 9 4 ]
28 [ 1 3 4 7 11 5 3 8 11 6 4 10 1 11 12 10 9 6 2 8 10 5 2 7    9 3 12 2 ]
28 [ 1 4 5 9 1 10 11 8 6 1 7 8 2 10 12 9 8 4 12 3 2 5 7 12    6 5 11 3 ]
28 [ 1 5 6 11 4 2 6 8 1 9 10 6 3 9 12 8 7 2 9 11 7 5 12 4    3 7 10 4 ]
census: 1×1 + 28×6 = 169 = 13×13

`modulus 13`
`period`	`additive sequence`
`1`	`[ 0 ]`
`28`	`[ 0 1 1 2 3 5 8 0 8 8 3 11 1 12 0 12 12 11 10 8 5 0 5 5 10 2 12 1 ]`
`28`	`[ 0 2 2 4 6 10 3 0 3 3 6 9 2 11 0 11 11 9 7 3 10 0 10 10 7 4 11 2 ]`
`28`	`[ 0 4 4 8 12 7 6 0 6 6 12 5 4 9 0 9 9 5 1 6 7 0 7 7 1 8 9 4 ]`
`28`	`[ 1 3 4 7 11 5 3 8 11 6 4 10 1 11 12 10 9 6 2 8 10 5 2 7 9 3 12 2 ]`
`28`	`[ 1 4 5 9 1 10 11 8 6 1 7 8 2 10 12 9 8 4 12 3 2 5 7 12 6 5 11 3 ]`
`28`	`[ 1 5 6 11 4 2 6 8 1 9 10 6 3 9 12 8 7 2 9 11 7 5 12 4 3 7 10 4 ]`
`census: 1×1 + 28×6 = 169 = 13×13`

modulus 14
period additive sequence
1 [ 0 ]
48 [ 0 1 1 2 3 5 8 13 7 6 13 5 4 9 13 8 7 1 8 9 3 12 1 13    0 13 13 12 11 9 6 1 7 8 1 9 10 5 1 6 7 13 6 5 11 2 13 1 ]
16 [ 0 2 2 4 6 10 2 12 0 12 12 10 8 4 12 2 ]
48 [ 0 3 3 6 9 1 10 11 7 4 11 1 12 13 11 10 7 3 10 13 9 8 3 11    0 11 11 8 5 13 4 3 7 10 3 13 2 1 3 4 7 11 4 1 5 6 11 3 ]
16 [ 0 4 4 8 12 6 4 10 0 10 10 6 2 8 10 4 ]
48 [ 0 5 5 10 1 11 12 9 7 2 9 11 6 3 9 12 7 5 12 3 1 4 5 9    0 9 9 4 13 3 2 5 7 12 5 3 8 11 5 2 7 9 2 11 13 10 9 5 ]
16 [ 0 6 6 12 4 2 6 8 0 8 8 2 10 12 8 6 ]
3 [ 0 7 7 ]
census: 1×1 + 3×1 + 16×3 + 48×3 = 196 = 14×14

`modulus 14`
`period`	`additive sequence`
`1`	`[ 0 ]`
`48`	`[ 0 1 1 2 3 5 8 13 7 6 13 5 4 9 13 8 7 1 8 9 3 12 1 13 0 13 13 12 11 9 6 1 7 8 1 9 10 5 1 6 7 13 6 5 11 2 13 1 ]`
`16`	`[ 0 2 2 4 6 10 2 12 0 12 12 10 8 4 12 2 ]`
`48`	`[ 0 3 3 6 9 1 10 11 7 4 11 1 12 13 11 10 7 3 10 13 9 8 3 11 0 11 11 8 5 13 4 3 7 10 3 13 2 1 3 4 7 11 4 1 5 6 11 3 ]`
`16`	`[ 0 4 4 8 12 6 4 10 0 10 10 6 2 8 10 4 ]`
`48`	`[ 0 5 5 10 1 11 12 9 7 2 9 11 6 3 9 12 7 5 12 3 1 4 5 9 0 9 9 4 13 3 2 5 7 12 5 3 8 11 5 2 7 9 2 11 13 10 9 5 ]`
`16`	`[ 0 6 6 12 4 2 6 8 0 8 8 2 10 12 8 6 ]`
`3`	`[ 0 7 7 ]`
`census: 1×1 + 3×1 + 16×3 + 48×3 = 196 = 14×14`

modulus 15
period additive sequence
1 [ 0 ]
40 [ 0 1 1 2 3 5 8 13 6 4 10 14 9 8 2 10 12 7 4 11 0 11 11 7    3 10 13 8 6 14 5 4 9 13 7 5 12 2 14 1 ]
40 [ 0 2 2 4 6 10 1 11 12 8 5 13 3 1 4 5 9 14 8 7 0 7 7 14    6 5 11 1 12 13 10 8 3 11 14 10 9 4 13 2 ]
20 [ 0 3 3 6 9 0 9 9 3 12 0 12 12 9 6 0 6 6 12 3 ]
40 [ 0 4 4 8 12 5 2 7 9 1 10 11 6 2 8 10 3 13 1 14 0 14 14 13   12 10 7 2 9 11 5 1 6 7 13 5 3 8 11 4 ]
8 [ 0 5 5 10 0 10 10 5 ]
40 [ 0 8 8 1 9 10 4 14 3 2 5 7 12 4 1 5 6 11 2 13 0 13 13 11    9 5 14 4 3 7 10 2 12 14 11 10 6 1 7 8 ]
8 [ 1 3 4 7 11 3 14 2 ]
8 [ 1 8 9 2 11 13 9 7 ]
8 [ 1 13 14 12 11 8 4 12 ]
8 [ 2 6 8 14 7 6 13 4 ]
4 [ 3 9 12 6 ]
census: 1×1 + 4×1 + 8×5 + 20×1 + 40×4 = 225 = 15×15

`modulus 15`
`period`	`additive sequence`
`1`	`[ 0 ]`
`40`	`[ 0 1 1 2 3 5 8 13 6 4 10 14 9 8 2 10 12 7 4 11 0 11 11 7 3 10 13 8 6 14 5 4 9 13 7 5 12 2 14 1 ]`
`40`	`[ 0 2 2 4 6 10 1 11 12 8 5 13 3 1 4 5 9 14 8 7 0 7 7 14 6 5 11 1 12 13 10 8 3 11 14 10 9 4 13 2 ]`
`20`	`[ 0 3 3 6 9 0 9 9 3 12 0 12 12 9 6 0 6 6 12 3 ]`
`40`	`[ 0 4 4 8 12 5 2 7 9 1 10 11 6 2 8 10 3 13 1 14 0 14 14 13 12 10 7 2 9 11 5 1 6 7 13 5 3 8 11 4 ]`
`8`	`[ 0 5 5 10 0 10 10 5 ]`
`40`	`[ 0 8 8 1 9 10 4 14 3 2 5 7 12 4 1 5 6 11 2 13 0 13 13 11 9 5 14 4 3 7 10 2 12 14 11 10 6 1 7 8 ]`
`8`	`[ 1 3 4 7 11 3 14 2 ]`
`8`	`[ 1 8 9 2 11 13 9 7 ]`
`8`	`[ 1 13 14 12 11 8 4 12 ]`
`8`	`[ 2 6 8 14 7 6 13 4 ]`
`4`	`[ 3 9 12 6 ]`
`census: 1×1 + 4×1 + 8×5 + 20×1 + 40×4 = 225 = 15×15`

modulus 16
period additive sequence
1 [ 0 ]
24 [ 0 1 1 2 3 5 8 13 5 2 7 9 0 9 9 2 11 13 8 5 13 2 15 1 ]
12 [ 0 2 2 4 6 10 0 10 10 4 14 2 ]
24 [ 0 3 3 6 9 15 8 7 15 6 5 11 0 11 11 6 1 7 8 15 7 6 13 3 ]
6 [ 0 4 4 8 12 4 ]
24 [ 0 5 5 10 15 9 8 1 9 10 3 13 0 13 13 10 7 1 8 9 1 10 11 5 ]
12 [ 0 6 6 12 2 14 0 14 14 12 10 6 ]
24 [ 0 7 7 14 5 3 8 11 3 14 1 15 0 15 15 14 13 11 8 3 11 14 9 7 ]
3 [ 0 8 8 ]
6 [ 0 12 12 8 4 12 ]
24 [ 1 3 4 7 11 2 13 15 12 11 7 2 9 11 4 15 3 2 5 7 12 3 15 2 ]
24 [ 1 4 5 9 14 7 5 12 1 13 14 11 9 4 13 1 14 15 13 12 9 5 14 3 ]
24 [ 1 5 6 11 1 12 13 9 6 15 5 4 9 13 6 3 9 12 5 1 6 7 13 4 ]
24 [ 1 11 12 7 3 10 13 7 4 11 15 10 9 3 12 15 11 10 5 15 4 3 7 10 ]
12 [ 2 6 8 14 6 4 10 14 8 6 14 4 ]
12 [ 2 8 10 2 12 14 10 8 2 10 12 6 ]
census: 1×1 + 3×1 + 6×2 + 12×4 + 24×8 = 256 = 16×16

`modulus 16`
`period`	`additive sequence`
`1`	`[ 0 ]`
`24`	`[ 0 1 1 2 3 5 8 13 5 2 7 9 0 9 9 2 11 13 8 5 13 2 15 1 ]`
`12`	`[ 0 2 2 4 6 10 0 10 10 4 14 2 ]`
`24`	`[ 0 3 3 6 9 15 8 7 15 6 5 11 0 11 11 6 1 7 8 15 7 6 13 3 ]`
`6`	`[ 0 4 4 8 12 4 ]`
`24`	`[ 0 5 5 10 15 9 8 1 9 10 3 13 0 13 13 10 7 1 8 9 1 10 11 5 ]`
`12`	`[ 0 6 6 12 2 14 0 14 14 12 10 6 ]`
`24`	`[ 0 7 7 14 5 3 8 11 3 14 1 15 0 15 15 14 13 11 8 3 11 14 9 7 ]`
`3`	`[ 0 8 8 ]`
`6`	`[ 0 12 12 8 4 12 ]`
`24`	`[ 1 3 4 7 11 2 13 15 12 11 7 2 9 11 4 15 3 2 5 7 12 3 15 2 ]`
`24`	`[ 1 4 5 9 14 7 5 12 1 13 14 11 9 4 13 1 14 15 13 12 9 5 14 3 ]`
`24`	`[ 1 5 6 11 1 12 13 9 6 15 5 4 9 13 6 3 9 12 5 1 6 7 13 4 ]`
`24`	`[ 1 11 12 7 3 10 13 7 4 11 15 10 9 3 12 15 11 10 5 15 4 3 7 10 ]`
`12`	`[ 2 6 8 14 6 4 10 14 8 6 14 4 ]`
`12`	`[ 2 8 10 2 12 14 10 8 2 10 12 6 ]`
`census: 1×1 + 3×1 + 6×2 + 12×4 + 24×8 = 256 = 16×16`

modulus 17
period additive sequence
1 [ 0 ]
36 [ 0 1 1 2 3 5 8 13 4 0 4 4 8 12 3 15 1 16 0 16 16 15 14 12    9 4 13 0 13 13 9 5 14 2 16 1 ]
36 [ 0 2 2 4 6 10 16 9 8 0 8 8 16 7 6 13 2 15 0 15 15 13 11 7    1 8 9 0 9 9 1 10 11 4 15 2 ]
36 [ 0 3 3 6 9 15 7 5 12 0 12 12 7 2 9 11 3 14 0 14 14 11 8 2   10 12 5 0 5 5 10 15 8 6 14 3 ]
36 [ 0 6 6 12 1 13 14 10 7 0 7 7 14 4 1 5 6 11 0 11 11 5 16 4    3 7 10 0 10 10 3 13 16 12 11 6 ]
36 [ 1 3 4 7 11 1 12 13 8 4 12 16 11 10 4 14 1 15 16 14 13 10 6 16    5 4 9 13 5 1 6 7 13 3 16 2 ]
36 [ 1 4 5 9 14 6 3 9 12 4 16 3 2 5 7 12 2 14 16 13 12 8 3 11   14 8 5 13 1 14 15 12 10 5 15 3 ]
36 [ 1 7 8 15 6 4 10 14 7 4 11 15 9 7 16 6 5 11 16 10 9 2 11 13    7 3 10 13 6 2 8 10 1 11 12 6 ]
36 [ 1 9 10 2 12 14 9 6 15 4 2 6 8 14 5 2 7 9 16 8 7 15 5 3    8 11 2 13 15 11 9 3 12 15 10 8 ]
census: 1×1 + 36×8 = 289 = 17×17

`modulus 17`
`period`	`additive sequence`
`1`	`[ 0 ]`
`36`	`[ 0 1 1 2 3 5 8 13 4 0 4 4 8 12 3 15 1 16 0 16 16 15 14 12 9 4 13 0 13 13 9 5 14 2 16 1 ]`
`36`	`[ 0 2 2 4 6 10 16 9 8 0 8 8 16 7 6 13 2 15 0 15 15 13 11 7 1 8 9 0 9 9 1 10 11 4 15 2 ]`
`36`	`[ 0 3 3 6 9 15 7 5 12 0 12 12 7 2 9 11 3 14 0 14 14 11 8 2 10 12 5 0 5 5 10 15 8 6 14 3 ]`
`36`	`[ 0 6 6 12 1 13 14 10 7 0 7 7 14 4 1 5 6 11 0 11 11 5 16 4 3 7 10 0 10 10 3 13 16 12 11 6 ]`
`36`	`[ 1 3 4 7 11 1 12 13 8 4 12 16 11 10 4 14 1 15 16 14 13 10 6 16 5 4 9 13 5 1 6 7 13 3 16 2 ]`
`36`	`[ 1 4 5 9 14 6 3 9 12 4 16 3 2 5 7 12 2 14 16 13 12 8 3 11 14 8 5 13 1 14 15 12 10 5 15 3 ]`
`36`	`[ 1 7 8 15 6 4 10 14 7 4 11 15 9 7 16 6 5 11 16 10 9 2 11 13 7 3 10 13 6 2 8 10 1 11 12 6 ]`
`36`	`[ 1 9 10 2 12 14 9 6 15 4 2 6 8 14 5 2 7 9 16 8 7 15 5 3 8 11 2 13 15 11 9 3 12 15 10 8 ]`
`census: 1×1 + 36×8 = 289 = 17×17`

modulus 18
period additive sequence
1 [ 0 ]
24 [ 0 1 1 2 3 5 8 13 3 16 1 17 0 17 17 16 15 13 10 5 15 2 17 1 ]
24 [ 0 2 2 4 6 10 16 8 6 14 2 16 0 16 16 14 12 8 2 10 12 4 16 2 ]
24 [ 0 3 3 6 9 15 6 3 9 12 3 15 0 15 15 12 9 3 12 15 9 6 15 3 ]
24 [ 0 4 4 8 12 2 14 16 12 10 4 14 0 14 14 10 6 16 4 2 6 8 14 4 ]
24 [ 0 5 5 10 15 7 4 11 15 8 5 13 0 13 13 8 3 11 14 7 3 10 13 5 ]
8 [ 0 6 6 12 0 12 12 6 ]
24 [ 0 7 7 14 3 17 2 1 3 4 7 11 0 11 11 4 15 1 16 17 15 14 11 7 ]
24 [ 0 8 8 16 6 4 10 14 6 2 8 10 0 10 10 2 12 14 8 4 12 16 10 8 ]
3 [ 0 9 9 ]
24 [ 1 4 5 9 14 5 1 6 7 13 2 15 17 14 13 9 4 13 17 12 11 5 16 3 ]
24 [ 1 5 6 11 17 10 9 1 10 11 3 14 17 13 12 7 1 8 9 17 8 7 15 4 ]
24 [ 1 7 8 15 5 2 7 9 16 7 5 12 17 11 10 3 13 16 11 9 2 11 13 6 ]
24 [ 1 9 10 1 11 12 5 17 4 3 7 10 17 9 8 17 7 6 13 1 14 15 11 8 ]
24 [ 1 12 13 7 2 9 11 2 13 15 10 7 17 6 5 11 16 9 7 16 5 3 8 11 ]
24 [ 1 13 14 9 5 14 1 15 16 13 11 6 17 5 4 9 13 4 17 3 2 5 7 12 ]
census: 1×1 + 3×1 + 8×1 + 24×13 = 324 = 18×18

`modulus 18`
`period`	`additive sequence`
`1`	`[ 0 ]`
`24`	`[ 0 1 1 2 3 5 8 13 3 16 1 17 0 17 17 16 15 13 10 5 15 2 17 1 ]`
`24`	`[ 0 2 2 4 6 10 16 8 6 14 2 16 0 16 16 14 12 8 2 10 12 4 16 2 ]`
`24`	`[ 0 3 3 6 9 15 6 3 9 12 3 15 0 15 15 12 9 3 12 15 9 6 15 3 ]`
`24`	`[ 0 4 4 8 12 2 14 16 12 10 4 14 0 14 14 10 6 16 4 2 6 8 14 4 ]`
`24`	`[ 0 5 5 10 15 7 4 11 15 8 5 13 0 13 13 8 3 11 14 7 3 10 13 5 ]`
`8`	`[ 0 6 6 12 0 12 12 6 ]`
`24`	`[ 0 7 7 14 3 17 2 1 3 4 7 11 0 11 11 4 15 1 16 17 15 14 11 7 ]`
`24`	`[ 0 8 8 16 6 4 10 14 6 2 8 10 0 10 10 2 12 14 8 4 12 16 10 8 ]`
`3`	`[ 0 9 9 ]`
`24`	`[ 1 4 5 9 14 5 1 6 7 13 2 15 17 14 13 9 4 13 17 12 11 5 16 3 ]`
`24`	`[ 1 5 6 11 17 10 9 1 10 11 3 14 17 13 12 7 1 8 9 17 8 7 15 4 ]`
`24`	`[ 1 7 8 15 5 2 7 9 16 7 5 12 17 11 10 3 13 16 11 9 2 11 13 6 ]`
`24`	`[ 1 9 10 1 11 12 5 17 4 3 7 10 17 9 8 17 7 6 13 1 14 15 11 8 ]`
`24`	`[ 1 12 13 7 2 9 11 2 13 15 10 7 17 6 5 11 16 9 7 16 5 3 8 11 ]`
`24`	`[ 1 13 14 9 5 14 1 15 16 13 11 6 17 5 4 9 13 4 17 3 2 5 7 12 ]`
`census: 1×1 + 3×1 + 8×1 + 24×13 = 324 = 18×18`

modulus 19
period additive sequence
1 [ 0 ]
18 [ 0 1 1 2 3 5 8 13 2 15 17 13 11 5 16 2 18 1 ]
18 [ 0 2 2 4 6 10 16 7 4 11 15 7 3 10 13 4 17 2 ]
18 [ 0 3 3 6 9 15 5 1 6 7 13 1 14 15 10 6 16 3 ]
18 [ 0 4 4 8 12 1 13 14 8 3 11 14 6 1 7 8 15 4 ]
18 [ 0 5 5 10 15 6 2 8 10 18 9 8 17 6 4 10 14 5 ]
18 [ 0 6 6 12 18 11 10 2 12 14 7 2 9 11 1 12 13 6 ]
18 [ 0 7 7 14 2 16 18 15 14 10 5 15 1 16 17 14 12 7 ]
18 [ 0 8 8 16 5 2 7 9 16 6 3 9 12 2 14 16 11 8 ]
18 [ 0 9 9 18 8 7 15 3 18 2 1 3 4 7 11 18 10 9 ]
18 [ 0 10 10 1 11 12 4 16 1 17 18 16 15 12 8 1 9 10 ]
18 [ 0 11 11 3 14 17 12 10 3 13 16 10 7 17 5 3 8 11 ]
18 [ 0 12 12 5 17 3 1 4 5 9 14 4 18 3 2 5 7 12 ]
18 [ 0 13 13 7 1 8 9 17 7 5 12 17 10 8 18 7 6 13 ]
18 [ 0 14 14 9 4 13 17 11 9 1 10 11 2 13 15 9 5 14 ]
18 [ 0 15 15 11 7 18 6 5 11 16 8 5 13 18 12 11 4 15 ]
18 [ 0 16 16 13 10 4 14 18 13 12 6 18 5 4 9 13 3 16 ]
18 [ 0 17 17 15 13 9 3 12 15 8 4 12 16 9 6 15 2 17 ]
18 [ 0 18 18 17 16 14 11 6 17 4 2 6 8 14 3 17 1 18 ]
9 [ 1 5 6 11 17 9 7 16 4 ]
18 [ 1 15 16 12 9 2 11 13 5 18 4 3 7 10 17 8 6 14 ]
9 [ 2 10 12 3 15 18 14 13 8 ]
census: 1×1 + 9×2 + 18×19 = 361 = 19×19

`modulus 19`
`period`	`additive sequence`
`1`	`[ 0 ]`
`18`	`[ 0 1 1 2 3 5 8 13 2 15 17 13 11 5 16 2 18 1 ]`
`18`	`[ 0 2 2 4 6 10 16 7 4 11 15 7 3 10 13 4 17 2 ]`
`18`	`[ 0 3 3 6 9 15 5 1 6 7 13 1 14 15 10 6 16 3 ]`
`18`	`[ 0 4 4 8 12 1 13 14 8 3 11 14 6 1 7 8 15 4 ]`
`18`	`[ 0 5 5 10 15 6 2 8 10 18 9 8 17 6 4 10 14 5 ]`
`18`	`[ 0 6 6 12 18 11 10 2 12 14 7 2 9 11 1 12 13 6 ]`
`18`	`[ 0 7 7 14 2 16 18 15 14 10 5 15 1 16 17 14 12 7 ]`
`18`	`[ 0 8 8 16 5 2 7 9 16 6 3 9 12 2 14 16 11 8 ]`
`18`	`[ 0 9 9 18 8 7 15 3 18 2 1 3 4 7 11 18 10 9 ]`
`18`	`[ 0 10 10 1 11 12 4 16 1 17 18 16 15 12 8 1 9 10 ]`
`18`	`[ 0 11 11 3 14 17 12 10 3 13 16 10 7 17 5 3 8 11 ]`
`18`	`[ 0 12 12 5 17 3 1 4 5 9 14 4 18 3 2 5 7 12 ]`
`18`	`[ 0 13 13 7 1 8 9 17 7 5 12 17 10 8 18 7 6 13 ]`
`18`	`[ 0 14 14 9 4 13 17 11 9 1 10 11 2 13 15 9 5 14 ]`
`18`	`[ 0 15 15 11 7 18 6 5 11 16 8 5 13 18 12 11 4 15 ]`
`18`	`[ 0 16 16 13 10 4 14 18 13 12 6 18 5 4 9 13 3 16 ]`
`18`	`[ 0 17 17 15 13 9 3 12 15 8 4 12 16 9 6 15 2 17 ]`
`18`	`[ 0 18 18 17 16 14 11 6 17 4 2 6 8 14 3 17 1 18 ]`
`9`	`[ 1 5 6 11 17 9 7 16 4 ]`
`18`	`[ 1 15 16 12 9 2 11 13 5 18 4 3 7 10 17 8 6 14 ]`
`9`	`[ 2 10 12 3 15 18 14 13 8 ]`
`census: 1×1 + 9×2 + 18×19 = 361 = 19×19`

modulus 20
period additive sequence
1 [ 0 ]
60 [ 0 1 1 2 3 5 8 13 1 14 15 9 4 13 17 10 7 17 4 1 5 6 11 17    8 5 13 18 11 9 0 9 9 18 7 5 12 17 9 6 15 1 16 17 13 10 3 13   16 9 5 14 19 13 12 5 17 2 19 1 ]
60 [ 0 2 2 4 6 10 16 6 2 8 10 18 8 6 14 0 14 14 8 2 10 12 2 14   16 10 6 16 2 18 0 18 18 16 14 10 4 14 18 12 10 2 12 14 6 0 6 6   12 18 10 8 18 6 4 10 14 4 18 2 ]
60 [ 0 3 3 6 9 15 4 19 3 2 5 7 12 19 11 10 1 11 12 3 15 18 13 11    4 15 19 14 13 7 0 7 7 14 1 15 16 11 7 18 5 3 8 11 19 10 9 19    8 7 15 2 17 19 16 15 11 6 17 3 ]
20 [ 0 4 4 8 12 0 12 12 4 16 0 16 16 12 8 0 8 8 16 4 ]
6 [ 0 5 5 10 15 5 ]
3 [ 0 10 10 ]
60 [ 0 11 11 2 13 15 8 3 11 14 5 19 4 3 7 10 17 7 4 11 15 6 1 7    8 15 3 18 1 19 0 19 19 18 17 15 12 7 19 6 5 11 16 7 3 10 13 3   16 19 15 14 9 3 12 15 7 2 9 11 ]
60 [ 0 13 13 6 19 5 4 9 13 2 15 17 12 9 1 10 11 1 12 13 5 18 3 1    4 5 9 14 3 17 0 17 17 14 11 5 16 1 17 18 15 13 8 1 9 10 19 9    8 17 5 2 7 9 16 5 1 6 7 13 ]
6 [ 0 15 15 10 5 15 ]
12 [ 1 3 4 7 11 18 9 7 16 3 19 2 ]
12 [ 1 8 9 17 6 3 9 12 1 13 14 7 ]
12 [ 1 18 19 17 16 13 9 2 11 13 4 17 ]
12 [ 2 6 8 14 2 16 18 14 12 6 18 4 ]
12 [ 3 14 17 11 8 19 7 6 13 19 12 11 ]
4 [ 4 12 16 8 ]
census: 1×1 + 3×1 + 4×1 + 6×2 + 12×5 + 20×1 + 60×5 = 400 = 20×20