A353564 Product_{d|n, d<n} A276086(phi(d)), where A276086 is primorial base exp-function, and phi is Euler totient function.

1, 2, 2, 4, 2, 12, 2, 12, 6, 36, 2, 108, 2, 20, 54, 108, 2, 180, 2, 972, 30, 180, 2, 8748, 18, 100, 30, 300, 2, 43740, 2, 1620, 270, 900, 90, 24300, 2, 500, 150, 131220, 2, 22500, 2, 24300, 4050, 4500, 2, 1968300, 10, 121500, 1350, 7500, 2, 112500, 810, 67500, 750, 22500, 2, 265720500, 2, 28, 3750, 364500, 450

Offset

1,2

Links

Table of n, a(n) for n=1..65.

Index entries for sequences related to primorial base

Formula

a(1) = 1 (as an empty product).

a(n) = Product_{d|n, d<n} A353563(d).

For all n >= 1, A276085(a(n)) = A051953(n).

Prog

(PARI)
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A353564(n) = { my(m=1); fordiv(n, d, if(d < n, m *= A276086(eulerphi(d)))); m; };

Crossrefs

Cf. A000010, A051953, A276085, A276086, A353563, A353565 (rgs-transform).

Cf. also A318834.

Sequence in context: A296071 A319342 A318834 * A067228 A356543 A332002

Adjacent sequences: A353561 A353562 A353563 * A353565 A353566 A353567

Keyword

nonn

Author

Antti Karttunen, Apr 27 2022

Status

approved