A016268 Expansion of 1/((1-x)(1-11x)(1-12x)).

1, 24, 421, 6516, 94297, 1308720, 17653357, 233276172, 3035108833, 39015048456, 496711748533, 6274383820068, 78744877055209, 982913508020832, 12212686913191549, 151147215944655804, 1864311294185799025

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (24,-155,132).

Formula

G.f.: 1/((1-x)*(1-11*x)*(1-12*x)).

a(n) = (10*12^(n+2)-11^(n+3)+1)/110. - Bruno Berselli, Mar 21 2011

a(n) = 24*a(n-1) - 155*a(n-2) + 132*a(n-3). - Wesley Ivan Hurt, Sep 04 2022

Maple

a:=n-> add(12^(n-j)-11^(n-j), j=0..n): seq(a(n), n=1..17); # Zerinvary Lajos, Jan 12 2007

Mathematica

Table[(10 12^(n + 2) - 11^(n + 3) + 1) / 110, {n, 0, 50}] (* Vincenzo Librandi, Jun 20 2013 *)

Crossrefs

Sequence in context: A287994 A072975 A062193 * A175199 A051546 A209448

Adjacent sequences: A016265 A016266 A016267 * A016269 A016270 A016271

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved