A024439 Expansion of 1/((1-x)(1-7x)(1-8x)(1-11x)).

1, 27, 482, 7182, 96843, 1227609, 14939644, 176784444, 2050941365, 23457934071, 265547461686, 2983410454986, 33332770184767, 370895550650613, 4114522946353808, 45542666345230008, 503271413032566249

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (27,-247,837,-616).

Formula

a(n) = (7*11^(n+3) - 40*8^(n+3) + 35*7^(n+3) - 2)/840. [Yahia Kahloune, Jun 28 2013]

Mathematica

CoefficientList[Series[1/((1-x)(1-7x)(1-8x)(1-11x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{27, -247, 837, -616}, {1, 27, 482, 7182}, 20] (* Harvey P. Dale, Dec 25 2023 *)

Crossrefs

Sequence in context: A028046 A109821 A057494 * A026006 A024346 A025983

Adjacent sequences: A024436 A024437 A024438 * A024440 A024441 A024442

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved