A028159 Expansion of 1/((1-4*x)*(1-8*x)*(1-10*x)*(1-12*x)).

1, 34, 740, 13160, 208656, 3075744, 43147840, 584341120, 7711252736, 99794799104, 1272281687040, 16031996897280, 200167551471616, 2480945949220864, 30569500530851840, 374885865442672640, 4579711921695031296, 55771862006617473024, 677451562270480138240, 8211599159257740083200, 99363299873122367307776

Offset

0,2

Links

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (34,-416,2144,-3840).

Formula

a(0)=1, a(1)=34, a(2)=740, a(3)=13160, a(n) = 34*a(n-1)-416*a(n-2)+2144*a(n-3)-3840*a(n-4). - Harvey P. Dale, Oct 21 2011

a(n) = (3*12^(n+3)-8*10^(n+3)+6*8^(n+3)-4^(n+3))/192. - Yahia Kahloune, May 27 2013

Mathematica

CoefficientList[Series[1/((1-4x)(1-8x)(1-10x)(1-12x)), {x, 0, 30}], x] (* Harvey P. Dale, Oct 21 2011 *)
(* Alternative: *)
LinearRecurrence[{34, -416, 2144, -3840}, {1, 34, 740, 13160}, 30] (* Harvey P. Dale, Oct 21 2011 *)

Crossrefs

Sequence in context: A028161 A028188 A295780 * A028179 A028154 A028106

Adjacent sequences: A028156 A028157 A028158 * A028160 A028161 A028162

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved