A348996 a(n) = usigma(A276086(n)), where usigma (A034448) is multiplicative with a(p^e) = (p^e)+1, and A276086 gives the prime product form of primorial base expansion of n.

1, 3, 4, 12, 10, 30, 6, 18, 24, 72, 60, 180, 26, 78, 104, 312, 260, 780, 126, 378, 504, 1512, 1260, 3780, 626, 1878, 2504, 7512, 6260, 18780, 8, 24, 32, 96, 80, 240, 48, 144, 192, 576, 480, 1440, 208, 624, 832, 2496, 2080, 6240, 1008, 3024, 4032, 12096, 10080, 30240, 5008, 15024, 20032, 60096, 50080, 150240, 50, 150

Offset

0,2

Links

Table of n, a(n) for n=0..61.

Index entries for sequences related to primorial base

Formula

a(n) = A034448(A276086(n)).

Prog

(PARI) A348996(n) = { my(m=1, p=2); while(n, if(n%p, m *= (1+(p^(n%p)))); n = n\p; p = nextprime(1+p)); (m); };

Crossrefs

Cf. A034448, A276086, A348997, A349000.

Cf. also A324653, A346470, A348949.

Sequence in context: A034854 A164982 A081837 * A196440 A101404 A067327

Adjacent sequences: A348993 A348994 A348995 * A348997 A348998 A348999

Keyword

nonn,base

Author

Antti Karttunen, Nov 07 2021

Status

approved