A028214 Expansion of 1/((1-6x)(1-8x)(1-10x)(1-12x)).

1, 36, 820, 15120, 246736, 3721536, 53174080, 730794240, 9758653696, 127501710336, 1638112752640, 20771546664960, 260668843872256, 3244288806567936, 40111449573376000, 493276560759521280, 6039827824481468416, 73691981266726158336, 896516001844367196160

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (36,-476,2736,-5760).

Formula

a(n) = 22*a(n-1) - 120*a(n-2) + 2^n*(4^(n+1) - 3^(n+1)), n>=2. - Vincenzo Librandi, Mar 14 2011

a(n) = 36*a(n-1) - 476*a(n-2) + 2736*a(n-3) - 5760*a(n-4). - Vincenzo Librandi, Mar 14 2011

a(n) = -125*10^n/2 -9*6^n/2 +4*8^(n+1)+3*12^(n+1). - R. J. Mathar, Mar 15 2011

Maple

A028214:=n->-125*10^n/2 -9*6^n/2 +4*8^(n+1)+3*12^(n+1): seq(A028214(n), n=0..20); # Wesley Ivan Hurt, Oct 23 2014

Mathematica

CoefficientList[Series[1/((1 - 6 x) (1 - 8 x) (1 - 10 x) (1 - 12 x)), {x, 0, 20}], x] (* Wesley Ivan Hurt, Oct 23 2014 *)

Prog

(Magma) [-125*10^n/2 -9*6^n/2 +4*8^(n+1)+3*12^(n+1) : n in [0..20]]; // Wesley Ivan Hurt, Oct 23 2014

Crossrefs

Sequence in context: A028216 A028221 A000597 * A028197 A028209 A028195

Adjacent sequences: A028211 A028212 A028213 * A028215 A028216 A028217

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

More terms from Wesley Ivan Hurt, Oct 23 2014

Status

approved