A023948 Expansion of 1/((1-x)(1-5x)(1-11x)(1-12x)).

1, 29, 566, 9346, 141027, 2013855, 27722632, 371889332, 4894555493, 63487825921, 814150878138, 10345138210758, 130470568108999, 1635266348565827, 20389018656020684, 253092309224759224

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (29,-275,907,-660).

Formula

a(0)=1, a(1)=29, a(2)=566, a(3)=9346; for n>3, a(n) = 29*a(n-1)- 275*a(n-2)+ 907*a(n-3)- 660*a(n-4). [Harvey P. Dale, Jun 20 2011]

a(n) = (5*2^(2*n+7)*3^(n+3)+11*5^(n+3)-14*11^(n+3)-21)/9240. [Harvey P. Dale, Jun 20 2011]

Mathematica

CoefficientList[Series[1/((1-x)(1-5x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{29, -275, 907, -660}, {1, 29, 566, 9346}, 30] (* Harvey P. Dale, Jun 20 2011 *)

Prog

(Magma) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-5*x)*(1-11*x)*(1-12*x)))); // Vincenzo Librandi, Jul 12 2013

Crossrefs

Sequence in context: A020979 A025985 A020978 * A020974 A167740 A158529

Adjacent sequences: A023945 A023946 A023947 * A023949 A023950 A023951

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved