A069183 Expansion of 1/((1-x)(1-x^2)^2(1-x^3)(1-x^6)).

1, 1, 3, 4, 7, 9, 15, 18, 27, 33, 45, 54, 72, 84, 108, 126, 156, 180, 220, 250, 300, 340, 400, 450, 525, 585, 675, 750, 855, 945, 1071, 1176, 1323, 1449, 1617, 1764, 1960, 2128, 2352, 2548, 2800, 3024, 3312, 3564, 3888, 4176, 4536, 4860, 5265, 5625, 6075

Offset

0,3

Links

Table of n, a(n) for n=0..50.

Index entries for linear recurrences with constant coefficients, signature (1,2,-1,-2,-1,3,0,-3,1,2,1,-2,-1,1).

Formula

G.f.: 1/((1-x)*(1-x^2)^2*(1-x^3)*(1-x^6)).

Mathematica

CoefficientList[Series[1/((1-x)(1-x^3)(1-x^6)(1-x^2)^2), {x, 0, 100}], x] (* Jinyuan Wang, Mar 15 2020 *)

Prog

(PARI) a(n) = polcoeff(1/((1-x)*(1-x^2)^2*(1-x^3)*(1-x^6)+x*O(x^n)), n);

Crossrefs

Cf. A029000.

Sequence in context: A005896 A147953 A163468 * A119907 A241335 A158911

Adjacent sequences: A069180 A069181 A069182 * A069184 A069185 A069186

Keyword

nonn,easy

Author

Rick L. Shepherd, Apr 10 2002

Status

approved