Fibonacciësque additive sequences for moduli 1 through 10.

modulus 1
period additive sequence
1 [ 0 ]
census: 1×1 = 1 = 1×1

`modulus 1`
`period`	`additive sequence`
`1`	`[ 0 ]`
`census: 1×1 = 1 = 1×1`

modulus 2
period additive sequence
1 [ 0 ]
3 [ 0 1 1 ]
census: 1×1 + 3×1 = 4 = 2×2

`modulus 2`
`period`	`additive sequence`
`1`	`[ 0 ]`
`3`	`[ 0 1 1 ]`
`census: 1×1 + 3×1 = 4 = 2×2`

modulus 3
period additive sequence
1 [ 0 ]
8 [ 0 1 1 2 0 2 2 1 ]
census: 1×1 + 8×1 = 9 = 3×3

`modulus 3`
`period`	`additive sequence`
`1`	`[ 0 ]`
`8`	`[ 0 1 1 2 0 2 2 1 ]`
`census: 1×1 + 8×1 = 9 = 3×3`

modulus 4
period additive sequence
1 [ 0 ]
6 [ 0 1 1 2 3 1 ]
3 [ 0 2 2 ]
6 [ 0 3 3 2 1 3 ]
census: 1×1 + 3×1 + 6×2 = 16 = 4×4

`modulus 4`
`period`	`additive sequence`
`1`	`[ 0 ]`
`6`	`[ 0 1 1 2 3 1 ]`
`3`	`[ 0 2 2 ]`
`6`	`[ 0 3 3 2 1 3 ]`
`census: 1×1 + 3×1 + 6×2 = 16 = 4×4`

modulus 5
period additive sequence
1 [ 0 ]
20 [ 0 1 1 2 3 0 3 3 1 4 0 4 4 3 2 0 2 2 4 1 ]
4 [ 1 3 4 2 ]
census: 1×1 + 4×1 + 20×1 = 25 = 5×5

`modulus 5`
`period`	`additive sequence`
`1`	`[ 0 ]`
`20`	`[ 0 1 1 2 3 0 3 3 1 4 0 4 4 3 2 0 2 2 4 1 ]`
`4`	`[ 1 3 4 2 ]`
`census: 1×1 + 4×1 + 20×1 = 25 = 5×5`

modulus 6
period additive sequence
1 [ 0 ]
24 [ 0 1 1 2 3 5 2 1 3 4 1 5 0 5 5 4 3 1 4 5 3 2 5 1 ]
8 [ 0 2 2 4 0 4 4 2 ]
3 [ 0 3 3 ]
census: 1×1 + 3×1 + 8×1 + 24×1 = 36 = 6×6

`modulus 6`
`period`	`additive sequence`
`1`	`[ 0 ]`
`24`	`[ 0 1 1 2 3 5 2 1 3 4 1 5 0 5 5 4 3 1 4 5 3 2 5 1 ]`
`8`	`[ 0 2 2 4 0 4 4 2 ]`
`3`	`[ 0 3 3 ]`
`census: 1×1 + 3×1 + 8×1 + 24×1 = 36 = 6×6`

modulus 7
period additive sequence
1 [ 0 ]
16 [ 0 1 1 2 3 5 1 6 0 6 6 5 4 2 6 1 ]
16 [ 0 2 2 4 6 3 2 5 0 5 5 3 1 4 5 2 ]
16 [ 0 3 3 6 2 1 3 4 0 4 4 1 5 6 4 3 ]
census: 1×1 + 16×3 = 49 = 7×7

`modulus 7`
`period`	`additive sequence`
`1`	`[ 0 ]`
`16`	`[ 0 1 1 2 3 5 1 6 0 6 6 5 4 2 6 1 ]`
`16`	`[ 0 2 2 4 6 3 2 5 0 5 5 3 1 4 5 2 ]`
`16`	`[ 0 3 3 6 2 1 3 4 0 4 4 1 5 6 4 3 ]`
`census: 1×1 + 16×3 = 49 = 7×7`

modulus 8
period additive sequence
1 [ 0 ]
12 [ 0 1 1 2 3 5 0 5 5 2 7 1 ]
6 [ 0 2 2 4 6 2 ]
12 [ 0 3 3 6 1 7 0 7 7 6 5 3 ]
3 [ 0 4 4 ]
6 [ 0 6 6 4 2 6 ]
12 [ 1 3 4 7 3 2 5 7 4 3 7 2 ]
12 [ 1 4 5 1 6 7 5 4 1 5 6 3 ]
census: 1×1 + 3×1 + 6×2 + 12×4 = 64 = 8×8

`modulus 8`
`period`	`additive sequence`
`1`	`[ 0 ]`
`12`	`[ 0 1 1 2 3 5 0 5 5 2 7 1 ]`
`6`	`[ 0 2 2 4 6 2 ]`
`12`	`[ 0 3 3 6 1 7 0 7 7 6 5 3 ]`
`3`	`[ 0 4 4 ]`
`6`	`[ 0 6 6 4 2 6 ]`
`12`	`[ 1 3 4 7 3 2 5 7 4 3 7 2 ]`
`12`	`[ 1 4 5 1 6 7 5 4 1 5 6 3 ]`
`census: 1×1 + 3×1 + 6×2 + 12×4 = 64 = 8×8`

modulus 9
period additive sequence
1 [ 0 ]
24 [ 0 1 1 2 3 5 8 4 3 7 1 8 0 8 8 7 6 4 1 5 6 2 8 1 ]
24 [ 0 2 2 4 6 1 7 8 6 5 2 7 0 7 7 5 3 8 2 1 3 4 7 2 ]
8 [ 0 3 3 6 0 6 6 3 ]
24 [ 0 4 4 8 3 2 5 7 3 1 4 5 0 5 5 1 6 7 4 2 6 8 5 4 ]
census: 1×1 + 8×1 + 24×3 = 81 = 9×9

`modulus 9`
`period`	`additive sequence`
`1`	`[ 0 ]`
`24`	`[ 0 1 1 2 3 5 8 4 3 7 1 8 0 8 8 7 6 4 1 5 6 2 8 1 ]`
`24`	`[ 0 2 2 4 6 1 7 8 6 5 2 7 0 7 7 5 3 8 2 1 3 4 7 2 ]`
`8`	`[ 0 3 3 6 0 6 6 3 ]`
`24`	`[ 0 4 4 8 3 2 5 7 3 1 4 5 0 5 5 1 6 7 4 2 6 8 5 4 ]`
`census: 1×1 + 8×1 + 24×3 = 81 = 9×9`

modulus 10
period additive sequence
1 [ 0 ]
60 [ 0 1 1 2 3 5 8 3 1 4 5 9 4 3 7 0 7 7 4 1 5 6 1 7 8 5 3 8 1 9 0 9 9 8 7 5 2 7 9 6 5 1 6 7 3 0 3 3 6 9 5 4 9 3 2 5 7 2 9 1 ]
20 [ 0 2 2 4 6 0 6 6 2 8 0 8 8 6 4 0 4 4 8 2 ]
3 [ 0 5 5 ]
12 [ 1 3 4 7 1 8 9 7 6 3 9 2 ]
4 [ 2 6 8 4 ]
census: 1×1 + 3×1 + 4×1 + 12×1 + 20×1 + 60×1 = 100 = 10×10