A347126 a(n) = A347129(A276086(n)).

0, 1, 1, 10, 3, 21, 1, 14, 16, 124, 39, 246, 3, 27, 33, 222, 72, 423, 6, 44, 56, 344, 114, 636, 10, 65, 85, 490, 165, 885, 1, 18, 20, 164, 51, 330, 24, 236, 284, 1976, 636, 3804, 57, 438, 552, 3468, 1143, 6462, 104, 696, 904, 5296, 1776, 9624, 165, 1010, 1340, 7460, 2535, 13290, 3, 33, 39, 282, 90, 549, 51, 414, 516

Offset

0,4

Links

Antti Karttunen, Table of n, a(n) for n = 0..11550

Index entries for sequences related to primorial base

Formula

a(n) = A347129(A276086(n)).

Prog

(PARI)
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]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A347130(n) = sumdiv(n, d, d*A003415(n/d));
A347129(n) = (A347130(n) / A003557(n));
A347126(n) = A347129(A276086(n));

Crossrefs

Cf. A003415, A003557, A276086, A347129, A347130.

Cf. also A342002, A346471, A347232.

Sequence in context: A068608 A358278 A195817 * A228314 A243239 A079670

Adjacent sequences: A347123 A347124 A347125 * A347127 A347128 A347129

Keyword

nonn,base,look

Author

Antti Karttunen, Aug 25 2021

Status

approved