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Problem #338

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 Public ★(x9) 05/23/16 by sinan 10xp Math 100.0%

A number for which every pair of consecutive digits has a difference of one is called a step number. For example 234321 is a step number.
A pandigital number in a base B contains every digit from 0 to B-1 at least once.

Let F(B,ND) denote the number of pandigital step numbers in base B with ND or less digits.

You are given:
F(7, 100) % 1020 = 1717291099033442979
F(10, 1000) % 1020 = 45956531342004698861

What is F(19, 191919) % 1020 ?

[My timing: <10s]


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