A368687 Expansion of g.f. Sum_{n>=1} q^n/(1-q^n-q^(2*n)-q^(3*n)).

1, 2, 3, 6, 8, 17, 25, 50, 84, 158, 275, 525, 928, 1731, 3146, 5818, 10610, 19611, 35891, 66174, 121442, 223593, 410745, 756045, 1389545, 2556686, 4700854, 8647799, 15902592, 29252734, 53798081, 98955914, 181997878, 334756388, 615693506, 1132456971, 2082876104, 3831042321, 7046320314, 12960268134

Offset

1,2

Links

Table of n, a(n) for n=1..40.

Prog

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

Crossrefs

Cf. A007435 (g.f. Sum{n>=1} q^n/(1-q^n-q^(2*n))), A368689 (g.f. Sum_{n>=1} q^n/(1-q^(2*n)-q^(3*n))), A368688 (g.f. Sum_{n>=1} q^n/(1-q^n-q^(3*n))).

Sequence in context: A276033 A327018 A329128 * A330442 A103065 A281142

Adjacent sequences: A368684 A368685 A368686 * A368688 A368689 A368690

Keyword

nonn

Author

Joerg Arndt, Jan 03 2024

Status

approved