A028190 Expansion of 1/((1-5x)(1-8x)(1-9x)(1-10x)).

1, 32, 647, 10570, 152481, 2028012, 25481947, 307098110, 3585577061, 40841792992, 456139166847, 5013707912850, 54390770364841, 583654905773972, 6205991828373347, 65478677349042790, 686305950702955821

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (32, -377, 1930, -3600).

Formula

a(n) = 19*a(n-1) - 90*a(n-2) + (8^(n+1) - 5^(n+1))/3; a(0)=1, a(1)=32. - Vincenzo Librandi, Mar 12 2011

a(n) = 32*a(n-1) - 377*a(n-2) + 1930*a(n-3) - 3600*a(n-4); a(0)=1, a(1)=32, a(2)=647, a(3)=10570. - Harvey P. Dale, Apr 28 2013

a(n) = (6*10^(n+3) - 15*9^(n+3) + 10*8^(n+3) - 5^(n+3))/60. - Yahia Kahloune, Jun 05 2013

Mathematica

CoefficientList[Series[1/((1-5x)(1-8x)(1-9x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{32, -377, 1930, -3600}, {1, 32, 647, 10570}, 30] (* Harvey P. Dale, Apr 28 2013 *)

Crossrefs

Sequence in context: A181240 A140802 A028204 * A028202 A028185 A028156

Adjacent sequences: A028187 A028188 A028189 * A028191 A028192 A028193

Keyword

nonn

Author

N. J. A. Sloane

Status

approved