A024436 Expansion of 1/((1-x)(1-6x)(1-11x)(1-12x)).

1, 30, 601, 10122, 155029, 2238894, 31086721, 419796498, 5553887821, 72338375382, 930742000825, 11858835825018, 149897892005317, 1882300860052734, 23506492073507953, 292186168385703522

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (30, -299, 1062, -792).

Formula

a(n) = (25*12^(n+3) - 33*11^(n+3) + 11*6^(n+3) - 3)/1650. [Yahia Kahloune, Jun 28 2013]

a(0)=1, a(1)=30, a(2)=601, a(3)=10122, a(n)=30*a(n-1)-299*a(n-2)+ 1062*a(n-3)- 792*a(n-4). - Harvey P. Dale, Nov 20 2013

Mathematica

CoefficientList[Series[1/((1-x)(1-6x)(1-11x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{30, -299, 1062, -792}, {1, 30, 601, 10122}, 20] (* Harvey P. Dale, Nov 20 2013 *)

Crossrefs

Sequence in context: A081140 A131206 A020982 * A042744 A020980 A051303

Adjacent sequences: A024433 A024434 A024435 * A024437 A024438 A024439

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved