A368688 -id:A368688 - cp's OEIS frontend

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

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

Joerg Arndt, Jan 03 2024

nonn

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))).

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

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

Original entry on oeis.org

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

Joerg Arndt, Jan 03 2024

nonn

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))).

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

cp's OEIS Frontend

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

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PARI

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

Views

Author

Keywords

Crossrefs

Programs

PARI

cp's OEIS Frontend

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

Views

Author

Keywords

Crossrefs

Programs

PARI

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

Views

Author

Keywords

Crossrefs

Programs

PARI

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

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