A354108 - OEIS

A354108

a(n) = 1 if n is neither an odd prime power nor twice an odd prime power, otherwise 0.

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

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OFFSET

COMMENTS

See comments in A354109 for a proof of the equivalence of the formulas.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..100000

Index entries for characteristic functions

FORMULA

For n > 4, a(n) = 1 - A211487(n).

a(n) = 1 if A354107(n) is equal to A353768(n), otherwise 0.

a(n) = 1 iff A010873(abs(A354101(n))) is 0.

a(n) = [A000010(n) == A354102(n) (mod 4)], where [ ] is the Iverson bracket.