A229736 Expansion of x^5*(2-5*x+3*x^2-x^3)/((1-x)^2*(1-2*x)^2*(1-3*x+x^2)).

0, 0, 0, 0, 0, 2, 13, 56, 201, 652, 1987, 5812, 16527, 46062, 126511, 343698, 926073, 2479562, 6606805, 17537444, 46415109, 122559832, 323033839, 850211680, 2235203355, 5871127002, 15410683483, 40428032286, 106011825381, 277892656502, 728253346657, 1908075342992, 4998455710257, 13092392061412, 34289189456731

Offset

0,6

Links

Table of n, a(n) for n=0..34.

D. Battaglino, J. M. Fedou, S. Rinaldi and S. Socci, The number of k-parallelogram polyominoes, FPSAC 2013 Paris, France DMTCS Proc. AS, 2013, 1143-1154. hal-01229685.

Index entries for linear recurrences with constant coefficients, signature (9,-32,57,-53,24,-4).

Formula

G.f.: x^5*(2-5*x+3*x^2-x^3)/((1-x)^2*(1-2*x)^2*(1-3*x+x^2)).

a(n) = 9*a(n-1)-32*a(n-2)+57*a(n-3)-53*a(n-4)+24*a(n-5)-4*a(n-6). - Wesley Ivan Hurt, Jun 20 2022

Mathematica

CoefficientList[Series[x^5*(2 - 5*x + 3*x^2 - x^3)/((1 - x)^2*(1 - 2*x)^2*(1 - 3*x + x^2)), {x, 0, 34}], x] (* Amiram Eldar, Oct 08 2020 *)

Crossrefs

Sequence in context: A144235 A180041 A042061 * A187560 A338818 A290721

Adjacent sequences: A229733 A229734 A229735 * A229737 A229738 A229739

Keyword

nonn,easy

Author

N. J. A. Sloane, Oct 04 2013

Status

approved