A318834 a(n) = Product_{d|n, dA019565(phi(d)), where phi is the Euler totient function A000010.

1, 2, 2, 4, 2, 12, 2, 12, 6, 20, 2, 108, 2, 60, 30, 60, 2, 540, 2, 300, 90, 84, 2, 2700, 10, 140, 90, 2700, 2, 6300, 2, 420, 126, 44, 150, 121500, 2, 132, 210, 10500, 2, 283500, 2, 5292, 3150, 660, 2, 132300, 30, 5500, 66, 14700, 2, 267300, 210, 472500, 198, 1540, 2, 4630500, 2, 4620, 47250, 4620, 350, 873180, 2, 1452, 990

Offset: 1

Author

Antti Karttunen, Sep 04 2018

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..4096

Crossrefs

Cf. A000010, A019565, A318835 (rgs-transform).

Cf. also A293214, A293231, A300834.

Programs

PARI

A019565(n) = {my(j,v); factorback(Mat(vector(if(n, #n=vecextract(binary(n), "-1..1")), j, [prime(j), n[j]])~))}; \\ From A019565
A318834(n) = { my(m=1); fordiv(n,d,if(d < n,m *= A019565(eulerphi(d)))); m; };

Formula

a(n) = Product_{d|n, dA019565(A000010(d)).

A048675(a(n)) = A051953(n).