A028105 Expansion of 1/((1-3x)(1-9x)(1-10x)(1-11x)).

1, 33, 700, 12150, 187951, 2698923, 36799570, 483082800, 6161352901, 76830423813, 940920228040, 11355049670250, 135378462029851, 1597705036844703, 18694490136746110, 217145575509718500

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (33, -389, 1887, -2970).

Formula

a(n) = (21*11^(n+3)-48*10^(n+3)+28*9^(n+3)-3^(n+3))/336. [Yahia Kahloune, Jun 11 2013]

Mathematica

CoefficientList[Series[1 / ((1 - 3 x) (1 - 9 x) (1 - 10 x) (1 - 11 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 11 2013 *)
LinearRecurrence[{33, -389, 1887, -2970}, {1, 33, 700, 12150}, 20] (* Harvey P. Dale, Jun 16 2024 *)

Crossrefs

Sequence in context: A028157 A028178 A028153 * A372855 A028103 A028144

Adjacent sequences: A028102 A028103 A028104 * A028106 A028107 A028108

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved