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Woodall numbers
(Generalized form) A number of the form nbn - 1, with n > b-2. more

The generalized Woodall numbers up to 1015 :

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 159 values, from 1 to 9.99⋅1030107).

n\r 0  1
20100000 2
3333333333433333 3
401099999 4
52000020000200002000020000 5
6033334033333033333 6
714286142861428514286142861428614285 7
8010000099999 8
9111111111111110111101111211112111121111111111 9
10020000020000020000020000020000 10
1190909093909090909091909190909091909190939090

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.