A358224 Parity of A328386(n), where A328386(n) = A276086(n) mod n, and A276086 is the primorial base exp-function.

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

Offset

1

Links

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

Index entries for characteristic functions

Formula

a(n) = A000035(A328386(n)).

Prog

(PARI)
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A358224(n) = ((A276086(n)%n)%2);

Crossrefs

Characteristic function of A358225, whose complement A358226 gives the positions of zeros.

Cf. A000035, A276086, A328386.

Cf. also A358227.

Sequence in context: A115971 A320007 A072165 * A072608 A295304 A171386

Adjacent sequences: A358221 A358222 A358223 * A358225 A358226 A358227

Keyword

nonn

Author

Antti Karttunen, Nov 25 2022

Status

approved