A329047 a(n) = A003415(A324886(n)).

1, 1, 1, 6, 1, 10, 1, 8, 12, 14, 1, 500, 1, 22, 100842, 240, 1, 840, 1, 1372, 966306, 26, 1, 650, 465850, 34, 16, 5324, 1, 148862, 1, 10, 2227758, 38, 31919986098, 2058000, 1, 46, 8519142, 18, 1, 24, 1, 8788, 673486, 58, 1, 1078, 551741398, 668409965300, 14856594, 19652, 1, 1760, 3510806, 155897368, 38618058, 62, 1, 320166, 1, 74, 1472328, 420

Offset

1,4

Links

Antti Karttunen, Table of n, a(n) for n = 1..3000

Index entries for sequences computed from indices in prime factorization

Index entries for sequences related to primorial base

Index entries for sequences related to primorial numbers

Formula

a(n) = A003415(A324886(n)) = A003415(A276086(A108951(n))).

a(n) = A327860(A108951(n)).

Prog

(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A034386(n) = prod(i=1, primepi(n), prime(i));
A108951(n) = { my(f=factor(n)); prod(i=1, #f~, A034386(f[i, 1])^f[i, 2]) };  \\ From A108951
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A324886(n) = A276086(A108951(n));
A329047(n) = A003415(A324886(n));

Crossrefs

Cf. A003415, A034386, A108951, A276086, A324886, A327860.

Sequence in context: A073446 A097179 A097186 * A363316 A347130 A070533

Adjacent sequences: A329044 A329045 A329046 * A329048 A329049 A329050

Keyword

nonn

Author

Antti Karttunen, Nov 08 2019

Status

approved