A345951 - OEIS

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A345951

a(n) = 1 if A002034(n), the smallest positive integer k such that n divides k!, is larger than A006530(n), the greatest prime factor of n, otherwise 0.

0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

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OFFSET

COMMENTS

a(n) = 1 if n does not divide A000142(A006530(n)), and 0 otherwise.

a(n) = 1 if A002034(n), the smallest positive integer k such that n divides k!, is composite, 0 otherwise.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

Index entries for characteristic functions

Index entries for sequences related to factorial numbers

FORMULA

a(n) = 1 if A345940(n) > 0, otherwise 0.

a(n) <= A345952(n) for all n >= 1.