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Gilda numbers
A number which appears in a Fibonacci-like sequence seeded by some signed sums of its digits. more

The Gilda numbers up to 1.61×1010 :

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 55 values, from 29 to 16141628324).

n\r 0  1 
23916 2 
3142021 3 
4179227 4 
5121211911 5 
6127142137 6 
7711117577 7 
8829397134 8 
9456477688 9 
1010472728474 10 
11147416345551

A pictorial representation of the table above
motab
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.