A016224 Expansion of 1/((1-x)(1-4x)(1-8x)).

1, 13, 125, 1085, 9021, 73533, 593725, 4771645, 38260541, 306433853, 2452868925, 19628543805, 157050720061, 1256495238973, 10052319825725, 80419990261565, 643365648715581, 5146948096216893, 41175676395704125

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (13, -44, 32).

Formula

a(n) = (1/21) - (4/3)*4^n + (16/7)*8^n. - Antonio Alberto Olivares, Feb 07 2010

a(0)=1, a(1)=13, a(n) = 12*a(n-1) - 32*a(n-2) + 1. - Vincenzo Librandi, Feb 10 2011

a(0)=1, a(1)=13, a(2)=125, a(n) = 13*a(n-1) - 44*a(n-2) + 32*a(n-3). - Harvey P. Dale, Aug 16 2012

Mathematica

CoefficientList[Series[1/((1-x)(1-4x)(1-8x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{13, -44, 32}, {1, 13, 125}, 20] (* Harvey P. Dale, Aug 16 2012 *)

Crossrefs

Sequence in context: A316923 A317041 A317695 * A360437 A278173 A142673

Adjacent sequences: A016221 A016222 A016223 * A016225 A016226 A016227

Keyword

nonn

Author

N. J. A. Sloane

Status

approved