A304102 a(n) = Product_{d|n, dA304101(d)-1).

1, 2, 2, 4, 2, 8, 2, 12, 4, 8, 2, 120, 2, 12, 8, 24, 2, 200, 2, 120, 12, 12, 2, 1680, 4, 8, 20, 180, 2, 2000, 2, 120, 12, 44, 12, 12600, 2, 44, 8, 1680, 2, 1200, 2, 180, 200, 20, 2, 42000, 6, 440, 44, 120, 2, 7800, 12, 3960, 44, 12, 2, 3234000, 2, 44, 120, 840, 8, 10200, 2, 264, 20, 3000, 2, 630000, 2, 20, 440, 1452, 18, 2000, 2, 109200, 260, 44, 2, 1386000

Offset: 1

Author

Antti Karttunen, May 13 2018

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..4181

Crossrefs

Cf. A304101, A304103 (restricted growth sequence transform of this sequence), A304104.

Programs

PARI

\\ Needs also code from A304101:
A304102(n) = { my(m=1); fordiv(n,d,if(dA304101(d)-1))); (m); };

Formula

a(n) = Product_{d|n, dA000040(A304101(d)-1).

a(n) = 2*A304104(n) / A000040(A304101(n)-1).

Other identities. For all n >= 1:

A001222(a(n)) = A032741(n).

A007814(a(n)) = A293435(n).

A007949(a(n)) = A304095(n).