A028222 Expansion of 1/((1-7x)(1-8x)(1-10x)(1-11x)).

1, 36, 815, 14850, 238161, 3512376, 48835795, 650202750, 8376184421, 105168836916, 1293777896775, 15655641961050, 186905779340281, 2206620573868656, 25809833134389755, 299526474742773750

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..958

Index entries for linear recurrences with constant coefficients, signature (36,-481,2826,-6160).

Formula

a(n)=(11^(n+3)-2*10^(n+3)+2*8^(n+3)-7^(n+3))/12. [Yahia Kahloune, Jun 12 2013]

Mathematica

CoefficientList[Series[1/((1-7x)(1-8x)(1-10x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{36, -481, 2826, -6160}, {1, 36, 815, 14850}, 30] (* Harvey P. Dale, Jul 05 2021 *)

Crossrefs

Sequence in context: A133051 A215605 A173187 * A028216 A028221 A000597

Adjacent sequences: A028219 A028220 A028221 * A028223 A028224 A028225

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved