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A339498 Number of zeroless strictly pandigital numbers divisible by the n-th prime. 0
161280, 362880, 40320, 51752, 31680, 27776, 21271, 19138, 15788, 12613, 11707, 9072, 8832, 8423, 7725, 6822, 6241, 5937, 5454, 5113, 4796, 4629, 4310, 4122, 3744, 3168, 3528, 3410, 3305, 3160, 2826, 2827, 2778, 2619, 2316, 2297, 2297, 2173, 2163, 2094, 2077, 2027, 1879, 1915, 1836, 1780, 1773 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Calculated by Chuck Gaydos.

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

LINKS

Table of n, a(n) for n=1..47.

PROG

(Python)

from sympy import prime

from itertools import permutations

def zeroless_pans():

    for p in permutations("123456789"):

        yield int("".join(p))

def a(n):

    pn = prime(n)

    return sum(zlp%pn==0 for zlp in zeroless_pans())

print([a(n) for n in range(1, 43)]) # Michael S. Branicky, Dec 07 2020

CROSSREFS

Cf. A000040, A050289.

Sequence in context: A017657 A235256 A233891 * A249880 A184474 A114669

Adjacent sequences:  A339495 A339496 A339497 * A339499 A339500 A339501

KEYWORD

nonn,base

AUTHOR

G. L. Honaker, Jr., Dec 07 2020

STATUS

approved

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Last modified May 6 09:45 EDT 2021. Contains 343580 sequences. (Running on oeis4.)