A016281 Expansion of 1/((1-2x)(1-3x)(1-12x)).

1, 17, 223, 2741, 33103, 397901, 4776871, 57328757, 687964255, 8255629085, 99067724119, 1188813216773, 14265760187407, 171189127015469, 2054269538501767, 24651234505002389, 295814814189037759

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (17,-66,72).

Formula

a(n) = (2/5)*2^(n-1) - 3^(n-1) + (8/5)*12^(n-1). - Antonio Alberto Olivares, Feb 06 2010

a(n) = 17*a(n-1) - 66*a(n-2) + 72*a(n-3). - Vincenzo Librandi, Jun 25 2013

Mathematica

CoefficientList[Series[1 / ((1 - 2 x) (1 - 3 x) (1 - 12 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)*(1-12*x)))); /* or */I:=[1, 17, 223]; [n le 3 select I[n] else 17*Self(n-1)-66*Self(n-2)+72*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jun 25 2013

Crossrefs

Sequence in context: A285233 A063043 A016174 * A160398 A181380 A081044

Adjacent sequences: A016278 A016279 A016280 * A016282 A016283 A016284

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved