A343776 G.f.: Product_{k>=1} eta(x^(k^2)).

1, -1, -1, 0, -1, 2, 1, 1, -1, -1, 2, 0, -1, 0, -2, -3, -1, 2, 0, 1, 5, -2, 1, -2, 2, -1, 0, 2, 0, -1, -1, 3, -4, 4, 0, -4, -5, -2, -3, 7, 2, 1, -6, -2, 4, -2, 2, 1, 7, -5, 11, 6, 0, -1, 1, -12, -11, 5, -3, -2, -8, 9, 8, 3, 1, 2, -5, -4, 5, -11, -6, 0, 7, 7, 4, -17, 3, -5, 8, 9, -4, -1, -10, 5, -6, 24, -5, 10, 0

Offset: 0

Author

Seiichi Manyama, Apr 29 2021

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..10000

Crossrefs

Convolution inverse of A004101.

Cf. A010815, A280451, A288098.

Programs

PARI

my(N=99, x='x+O('x^N)); Vec(prod(k=1, sqrt(N), eta(x^(k^2))))