A317665 -id:A317665 - cp's OEIS frontend

A363275 Expansion of 1 / Sum_{k>=0} x^(k(3k - 2)).

1, -1, 1, -1, 1, -1, 1, -1, 0, 1, -2, 3, -4, 5, -6, 7, -7, 6, -4, 1, 3, -9, 16, -24, 32, -39, 44, -46, 44, -35, 18, 8, -43, 86, -135, 187, -238, 280, -304, 300, -259, 171, -28, -174, 435, -746, 1088, -1431, 1736, -1952, 2017, -1864, 1425, -641, -527, 2086, -4002

Offset: 0

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Ilya Gutkovskiy, May 25 2023

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Cf. A000567, A106507, A195848, A308806, A317665, A322800, A361979, A363149.

nmax = 56; CoefficientList[Series[1/Sum[x^(k (3 k - 2)), {k, 0, nmax}], {x, 0, nmax}], x]

A320119 Expansion of Product_{k>0} 1/(Sum_{m>=0} x^(k*m^2)).

Original entry on oeis.org

1, -1, 0, -1, 0, 1, -1, 2, -2, 0, 4, -5, 6, -7, 5, 3, -14, 22, -29, 23, 1, -27, 57, -92, 96, -50, -38, 157, -281, 341, -270, 57, 304, -777, 1156, -1175, 695, 357, -1897, 3447, -4274, 3677, -1045, -3723, 9521, -14161, 15044, -9633, -3494, 22711, -42509, 54373, -48146

Offset: 0

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Seiichi Manyama, Oct 06 2018

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Cf. A300446, A317665, A320120.

Convolution inverse of A300446.

cp's OEIS Frontend

A363275 Expansion of 1 / Sum_{k>=0} x^(k(3k - 2)).

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A320119 Expansion of Product_{k>0} 1/(Sum_{m>=0} x^(k*m^2)).

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Author

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Formula

cp's OEIS Frontend

A363275 Expansion of 1 / Sum_{k>=0} x^(k*(3*k - 2)).

Views

Author

Keywords

Crossrefs

Programs

Mathematica

A320119 Expansion of Product_{k>0} 1/(Sum_{m>=0} x^(k*m^2)).

Views

Author

Keywords

Crossrefs

Formula

A363275 Expansion of 1 / Sum_{k>=0} x^(k(3k - 2)).