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

1, 34, 740, 13160, 208656, 3075744, 43147840, 584341120, 7711252736, 99794799104, 1272281687040, 16031996897280, 200167551471616, 2480945949220864, 30569500530851840, 374885865442672640

Offset

0,2

Links

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

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) [From 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] (* or *) 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