The iccanobiF numbers up to 1.1×1014 :
1, 2, 3, 5, 8, 13, 39, 124, 514, 836, 1053, 4139, 12815, 61135, 104937, 792517, 1454698, 9679838, 17354310, 9735140, 1760750, 986050, 621360, 113815, 581437, 1252496, 7676706, 13019288, 94367798, 178067380, 173537220, 106496242, 265429972, 522619163, 641840787, 1148964371, 2521746557, 9291169663, 11226083181, 21807674140, 22285733023, 36181429034, 75126176385, 101459580320, 81453116258, 108347089519, 1001241879219, 10045762164802, 29975908175002, 40903307711993, 59968951288896, 109799986317899.
Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 52 values, from 1 to 109799986317899).
| n\r | 0 | 1 | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 27 | 25 | 2 | ||||||||
| 3 | 13 | 19 | 20 | 3 | |||||||
| 4 | 13 | 11 | 14 | 14 | 4 | ||||||
| 5 | 14 | 7 | 10 | 13 | 8 | 5 | |||||
| 6 | 5 | 9 | 12 | 8 | 10 | 8 | 6 | ||||
| 7 | 9 | 8 | 9 | 10 | 3 | 7 | 6 | 7 | |||
| 8 | 6 | 4 | 10 | 7 | 7 | 7 | 4 | 7 | 8 | ||
| 9 | 4 | 11 | 5 | 5 | 4 | 5 | 4 | 4 | 10 | 9 | |
| 10 | 9 | 3 | 5 | 7 | 3 | 5 | 4 | 5 | 6 | 5 | 10 |
| 11 | 5 | 4 | 3 | 8 | 2 | 5 | 4 | 3 | 8 | 4 | 6 |
A pictorial representation of the table above
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.
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