A344761 "Twisted variant" of A342002: a(n) = A342001(A328624(n)) = A342002(A328625(n)).

0, 1, 1, 7, 2, 5, 1, 7, 11, 47, 19, 43, 2, 9, 17, 59, 13, 31, 3, 11, 8, 41, 22, 49, 4, 13, 14, 53, 16, 37, 1, 9, 10, 55, 17, 41, 17, 69, 107, 389, 163, 361, 29, 93, 164, 503, 136, 307, 41, 117, 116, 407, 214, 463, 53, 141, 173, 521, 187, 409, 2, 11, 13, 61, 20, 47, 27, 89, 137, 449, 193, 421, 44, 123, 209, 593, 181

Offset: 0

Author

Antti Karttunen, May 29 2021

Keywords

• nonn
• look

Links

• Antti Karttunen, Table of n, a(n) for n = 0..11550
• Index entries for sequences related to primorial base

Crossrefs

Cf. A003415, A003557, A276086, A328624, A328625, A342001, A342002.

Cf. also A344762 (another variant based on inverse of A328625).

Programs

PARI

A328624(n) = { my(m=1, p=2, e, g=1); while(n, e = (n%p); m *= (p^((g*e)%p)); g = e+1; n = n\p; p = nextprime(1+p)); (m); };
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A003557(n) = (n/factorback(factorint(n)[, 1]));
A342001(n) = (A003415(n) / A003557(n));
A344761(n) = A342001(A328624(n));

Formula

a(n) = A342001(A328624(n)) = A342002(A328625(n)).