A022455 Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-11*x)).

1, 24, 386, 5256, 65667, 781200, 9024772, 102391152, 1148621573, 12793511016, 141851544198, 1568288482488, 17306928957319, 190768033959072, 2101198710944264, 23132476329120864, 254592463916330505

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (24,-190,552,-385).

Formula

a(0)=1, a(1)=24, a(2)=386, a(3)=5256; for n>3, a(n) = 24*a(n-1) -190*a(n-2) +552*a(n-3) -385*a(n-4). - Harvey P. Dale, Feb 25 2012

a(n) = 1/240*(-1+5^(3+n)-5*7^(2+n)+11^(2+n)). Harvey P. Dale, Feb 25 2012

Mathematica

CoefficientList[Series[1/((1-x)(1-5x)(1-7x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{24, -190, 552, -385}, {1, 24, 386, 5256}, 30] (* Harvey P. Dale, Feb 25 2012 *)

Prog

(Magma) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-5*x)*(1-7*x)*(1-11*x)))); // Vincenzo Librandi, Jul 12 2013
(PARI) x='x+O('x^30); Vec(1/((1-x)*(1-5*x)*(1-7*x)*(1-11*x))) \\ G. C. Greubel, Feb 28 2018

Crossrefs

Sequence in context: A025952 A028031 A042108 * A021954 A025950 A020584

Adjacent sequences: A022452 A022453 A022454 * A022456 A022457 A022458

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved