A016280 Expansion of 1/((1-2x)(1-3x)(1-11x)).

1, 16, 195, 2210, 24521, 270396, 2976415, 32746870, 360234741, 3962640176, 43589217035, 479481914730, 5274302648161, 58017333896356, 638190687176055, 7020097601917790, 77221073750104781, 849431811638310936

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (16,-61,66).

Formula

a(n) = 4*2^n/9 - 9*3^n/8 + 121*11^n/72. - Antonio Alberto Olivares, Feb 06 2010

a(n) = 16*a(n-1) - 61*a(n-2) + 66*a(n-3). - Vincenzo Librandi, Jun 25 2013

Mathematica

CoefficientList[Series[1 / ((1 - 2 x) (1 - 3 x) (1 - 11 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jun 25 2013 *)

Prog

(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-2*x)*(1-3*x)*(1-11*x)))); /* or */ I:=[1, 16, 195]; [n le 3 select I[n] else 16*Self(n-1)-61*Self(n-2)+66*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jun 25 2013

Crossrefs

Sequence in context: A081185 A159517 A153599 * A281946 A077363 A068989

Adjacent sequences: A016277 A016278 A016279 * A016281 A016282 A016283

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved