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%I #26 Jan 17 2021 12:59:24
%S 161280,362880,40320,51752,31680,27776,21271,19138,15788,12613,11707,
%T 9072,8832,8423,7725,6822,6241,5937,5454,5113,4796,4629,4310,4122,
%U 3744,3168,3528,3410,3305,3160,2826,2827,2778,2619,2316,2297,2297,2173,2163,2094,2077,2027,1879,1915,1836,1780,1773
%N Number of zeroless strictly pandigital numbers divisible by the n-th prime.
%C Calculated by Chuck Gaydos.
%C a(4620), for prime(4620) = 44449, is the first zero entry. The last nonzero entry is a(6289143) for prime 109739359 = 987654231 / 9. - _Michael S. Branicky_, Dec 07 2020
%o (Python)
%o from sympy import prime
%o from itertools import permutations
%o def zeroless_pans():
%o for p in permutations("123456789"):
%o yield int("".join(p))
%o def a(n):
%o pn = prime(n)
%o return sum(zlp%pn==0 for zlp in zeroless_pans())
%o print([a(n) for n in range(1, 43)]) # _Michael S. Branicky_, Dec 07 2020
%Y Cf. A000040, A050289.
%K nonn,base
%O 1,1
%A _G. L. Honaker, Jr._, Dec 07 2020
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