A020758 Expansion of 1/((1-6x)(1-10x)(1-12x)).

1, 28, 532, 8560, 125776, 1747648, 23401792, 305401600, 3912299776, 49432480768, 618099069952, 7666644643840, 94496470552576, 1158938055589888, 14157139120832512, 172384964172513280

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..925

Index entries for linear recurrences with constant coefficients, signature (28,-252,720).

Formula

a(n) = 22*a(n-1) - 120*a(n-2) + 6^n for n>1, a(0)=1, a(1)=28. - Vincenzo Librandi, Mar 11 2011

a(n) = (2*12^(n+2) - 3*10^(n+2) + 6^(n+2))/24. [Yahia Kahloune, Jun 30 2013]

Mathematica

CoefficientList[Series[1/((1-6x)(1-10x)(1-12x)), {x, 0, 20}], x] (* or  *) LinearRecurrence[ {28, -252, 720}, {1, 28, 532}, 20] (* Harvey P. Dale, Aug 20 2022 *)

Crossrefs

Sequence in context: A023947 A020972 A025957 * A022000 A020569 A163195

Adjacent sequences: A020755 A020756 A020757 * A020759 A020760 A020761

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved