cp's OEIS Frontend

A339498 Number of zeroless strictly pandigital numbers divisible by the n-th prime.

%I A339498 #26 Jan 17 2021 12:59:24
%S A339498 161280,362880,40320,51752,31680,27776,21271,19138,15788,12613,11707,
%T A339498 9072,8832,8423,7725,6822,6241,5937,5454,5113,4796,4629,4310,4122,
%U A339498 3744,3168,3528,3410,3305,3160,2826,2827,2778,2619,2316,2297,2297,2173,2163,2094,2077,2027,1879,1915,1836,1780,1773
%N A339498 Number of zeroless strictly pandigital numbers divisible by the n-th prime.
%C A339498 Calculated by Chuck Gaydos.
%C A339498 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 A339498 (Python)
%o A339498 from sympy import prime
%o A339498 from itertools import permutations
%o A339498 def zeroless_pans():
%o A339498     for p in permutations("123456789"):
%o A339498         yield int("".join(p))
%o A339498 def a(n):
%o A339498     pn = prime(n)
%o A339498     return sum(zlp%pn==0 for zlp in zeroless_pans())
%o A339498 print([a(n) for n in range(1, 43)]) # _Michael S. Branicky_, Dec 07 2020
%Y A339498 Cf. A000040, A050289.
%K A339498 nonn,base
%O A339498 1,1
%A A339498 _G. L. Honaker, Jr._, Dec 07 2020