A346770 Expansion of g.f. Product_{k>=1} (1 - x^k)^phi(k), where phi() is the Euler totient function (A000010).
1, -1, -1, -1, 0, 0, 3, 1, 4, 2, 3, -5, 1, -13, -5, -13, -6, -22, 12, -12, 35, 17, 59, 11, 101, -1, 81, -35, 45, -165, 29, -311, -69, -383, -57, -501, 181, -501, 425, -191, 990, -70, 1844, 64, 2305, 183, 2625, -951, 2897, -2701, 1845, -4851, 664, -8824, 670, -12366, 269, -14137, 2884
Offset: 0
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..10000
Programs
-
PARI
N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-x^k)^eulerphi(k)))
-
PARI
N=66; x='x+O('x^N); Vec(exp(-sum(k=1, N, sigma(k^2, 2)/sigma(k^2)*x^k/k)))