A329380 a(n) = Product_{d|n} A276086(d)^A001221(n/d).

1, 2, 2, 6, 2, 72, 2, 54, 12, 216, 2, 9720, 2, 120, 432, 810, 2, 64800, 2, 262440, 240, 1080, 2, 32805000, 36, 600, 360, 243000, 2, 28343520000, 2, 182250, 2160, 5400, 720, 27337500000, 2, 3000, 1200, 13286025000, 2, 72900000000, 2, 32805000, 11664000, 27000, 2, 69198046875000, 20, 218700000, 10800, 30375000, 2, 911250000000, 6480, 184528125000, 6000

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..8192

Formula

a(n) = Product_{d|n} A276086(d)^A001221(n/d).

A276085(a(n)) = A323599(n).

Prog

(PARI)
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A329380(n) = { my(m=1); fordiv(n, d, m *= A276086(d)^omega(n/d)); (m); };

Crossrefs

Cf. A001221, A276085, A276086, A323599, A329381 (rgs-transform).

Cf. also A329350.

Sequence in context: A319708 A230266 A342628 * A348146 A355076 A344007

Adjacent sequences: A329377 A329378 A329379 * A329381 A329382 A329383

Keyword

nonn

Author

Antti Karttunen, Nov 12 2019

Status

approved