A028216 Expansion of 1/((1-6x)(1-9x)(1-10x)(1-11x)).

1, 36, 817, 14952, 241213, 3582348, 50196889, 673865424, 8755297045, 110878147380, 1375697840881, 16786476031416, 202032169207597, 2403762666000732, 28323951022216393, 331005811232778528

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (36, -479, 2784, -5940).

Formula

a(n) = 21*a(n-1) - 110*a(n-2) + 3*9^n - 2*6^n, n >= 2. - Vincenzo Librandi, Mar 13 2011

a(n) = -25*10^(n+1) + 11^(n+3)/10 - 3*6^(n+1)/5 + 3*9^(n+2)/2. - R. J. Mathar, Mar 18 2011

a(n) = 36*a(n-1) - 479*a(n-2) + 2784*a(n-3) - 5940*a(n-4); a(0)=1, a(1)=36, a(2)=817, a(3)=14952. - Harvey P. Dale, Jan 16 2013

Mathematica

LinearRecurrence[{36, -479, 2784, -5940}, {1, 36, 817, 14952}, 30] (* Harvey P. Dale, Jan 16 2013 *)

Crossrefs

Sequence in context: A215605 A173187 A028222 * A028221 A000597 A028214

Adjacent sequences: A028213 A028214 A028215 * A028217 A028218 A028219

Keyword

nonn

Author

N. J. A. Sloane

Status

approved