A291986 Expansion of 1/((1-x)*(1-2*x^2)*(1-3*x^3)).

1, 1, 3, 6, 10, 16, 33, 45, 79, 130, 198, 300, 517, 721, 1155, 1806, 2674, 3976, 6441, 9045, 13975, 21370, 31230, 46020, 72301, 101881, 154443, 233286, 338410, 496096, 765393, 1080765, 1619359, 2427250, 3504438, 5120220, 7806037, 11037601, 16409235, 24466686

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..6278

Index entries for linear recurrences with constant coefficients, signature (1, 2, 1, -3, -6, 6).

Mathematica

CoefficientList[Series[1/((1-x)(1-2x^2)(1-3x^3)), {x, 0, 40}], x] (* or *) LinearRecurrence[{1, 2, 1, -3, -6, 6}, {1, 1, 3, 6, 10, 16}, 40] (* Harvey P. Dale, Sep 15 2023 *)

Prog

(PARI) Vec(1/((1-x)*(1-2*x^2)*(1-3*x^3)) + O(x^100))

Crossrefs

Cf. A291960, A291987, A291988.

Sequence in context: A369850 A119971 A318290 * A360889 A094272 A236326

Adjacent sequences: A291983 A291984 A291985 * A291987 A291988 A291989

Keyword

nonn,easy

Author

Seiichi Manyama, Sep 07 2017

Status

approved