A353489 If A276086(n) is of the form 4k+3, then a(n) = 1, otherwise a(n) = 0.

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

Offset

0

Links

Antti Karttunen, Table of n, a(n) for n = 0..65537

Index entries for characteristic functions

Index entries for sequences related to primorial base

Formula

a(n) = 1 iff A353486(n) = 3, and 0 otherwise.

a(n) = A059841(n) - A353488(n).

For all n >= 2, a(n) = a(n-2) XOR A353529(n), where XOR is bitwise-XOR, A003987.

Prog

(PARI)
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A353489(n) = (3==(A276086(n)%4));

Crossrefs

Characteristic function of A353466.

Cf. A003987, A059841, A276086, A353486, A353487, A353488, A353529.

Sequence in context: A289104 A289235 A188371 * A288106 A286939 A025125

Adjacent sequences: A353486 A353487 A353488 * A353490 A353491 A353492

Keyword

nonn,base

Author

Antti Karttunen, Apr 24 2022

Status

approved