A368689 Expansion of g.f. Sum_{n>=1} q^n/(1-q^(2*n)-q^(3*n)).

1, 1, 2, 2, 2, 4, 3, 5, 6, 7, 8, 14, 13, 19, 24, 33, 38, 57, 66, 94, 118, 159, 201, 282, 353, 478, 622, 836, 1082, 1463, 1898, 2546, 3338, 4448, 5846, 7806, 10253, 13647, 18005, 23930, 31573, 41960, 55406, 73556, 97257, 129002, 170626, 226340, 299429, 397013, 525495, 696560, 922112, 1222210, 1618201, 2144487

Offset: 1

Author

Joerg Arndt, Jan 03 2024

Keywords

• nonn

Crossrefs

Cf. A007435 (g.f. Sum{n>=1} q^n/(1-q^n-q^(2*n))), A368688 (g.f. Sum_{n>=1} q^n/(1-q^n-q^(3*n))), A368687 (g.f. Sum_{n>=1} q^n/(1-q^n-q^(2*n)-q^(3*n))).

Programs

PARI

my(N=55, q='q+O('q^N)); Vec(sum(n=1,N,q^n/(1-q^(2*n)-q^(3*n))))