A344762 "Twisted variant" of A342002: a(n) = A342001(A328627(n)) = A342002(A328626(n)).

0, 1, 1, 7, 2, 5, 1, 7, 14, 47, 16, 43, 2, 9, 8, 59, 22, 31, 3, 11, 17, 41, 13, 49, 4, 13, 11, 53, 19, 37, 1, 9, 10, 55, 17, 41, 27, 89, 128, 479, 187, 361, 39, 113, 116, 503, 199, 337, 31, 97, 164, 407, 151, 433, 43, 121, 152, 431, 163, 409, 2, 11, 13, 61, 20, 47, 12, 59, 158, 419, 157, 421, 29, 93, 71, 593, 244, 247, 41

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, A328626, A328627, A342001, A342002.

Cf. also A344761 (another variant based on inverse of A328626).

Programs

PARI

A328627(n) = { my(m=1, p=2, d=0); while(n, d = lift(Mod(n,p)/(d+1)); m *= (p^d); 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));
A344762(n) = A342001(A328627(n));

Formula

a(n) = A342001(A328627(n)) = A342002(A328626(n)).