A353517 The largest proper divisor of A276086(2*n) reduced modulo 4, where A276086(n) the primorial base exp-function.

1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1

Offset

0,3

Links

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

Index entries for sequences related to primorial base

Formula

a(n) = A353516(2*n) = A010873(A324895(2*n)).

For n >= 1, a(n) = (A353487(n) * A353527(n)) mod 4.

For n >= 1, a(n) = A353487(n-1). [See A353516 for a proof]

Prog

(PARI)
A032742(n) = if(1==n, n, n/vecmin(factor(n)[, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A324895(n) = A032742(A276086(n));
A353517(n) = (A324895(2*n)%4);

Crossrefs

Even bisection of A353516. Sequence A353487 shifted one term right.

Cf. A010873, A032742, A276086, A324895, A353527.

Sequence in context: A132951 A366520 A366519 * A353487 A356308 A228925

Adjacent sequences: A353514 A353515 A353516 * A353518 A353519 A353520

Keyword

nonn

Author

Antti Karttunen, Apr 24 2022

Status

approved