A346470 a(n) = psi(A276086(n)), where psi is Dedekind psi function A001615, and A276086 is the prime product form of primorial base expansion of n.

1, 3, 4, 12, 12, 36, 6, 18, 24, 72, 72, 216, 30, 90, 120, 360, 360, 1080, 150, 450, 600, 1800, 1800, 5400, 750, 2250, 3000, 9000, 9000, 27000, 8, 24, 32, 96, 96, 288, 48, 144, 192, 576, 576, 1728, 240, 720, 960, 2880, 2880, 8640, 1200, 3600, 4800, 14400, 14400, 43200, 6000, 18000, 24000, 72000, 72000, 216000, 56, 168, 224, 672

Offset

0,2

Links

Antti Karttunen, Table of n, a(n) for n = 0..2310

Index entries for sequences related to primorial base

Formula

a(n) = A001615(A276086(n)).

Prog

(PARI) A346470(n) = { my(m=1, p=2, e); while(n, e = (n%p); if(e, m *= (p+1)*(p^(e-1))); n = n\p; p = nextprime(1+p)); (m); };

Crossrefs

Cf. A001615.

Other number-theoretical functions similarly applied to A276086: A267263 (omega), A276150 (bigomega), A324650 (phi), A324653 (sigma), A324655 (tau), A327860 (arithmetic derivative).

Cf. also A346471, A346475.

Sequence in context: A196440 A101404 A067327 * A218968 A332206 A324653

Adjacent sequences: A346467 A346468 A346469 * A346471 A346472 A346473

Keyword

nonn,base

Author

Antti Karttunen, Jul 21 2021

Status

approved