A028147 Expansion of 1/((1-4x)(1-7x)(1-8x)(1-11x)).

1, 30, 575, 9000, 125661, 1633410, 20245675, 242827500, 2845466921, 32788860390, 373244969175, 4210842870000, 47192731209781, 526333705304970, 5848962216923075, 64823992266568500, 717024715753610241

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (30, -325, 1500, -2464).

Formula

a(n)=(11^(n+3)-7*8^(n+3)+7^(n+4)-4^(n+3))/84. [Yahia Kahloune, Jun 04 2013]

a(0)=1, a(1)=30, a(2)=575, a(3)=9000, a(n)=30*a(n-1)-325*a(n-2)+ 1500*a(n-3)- 2464*a(n-4). - Harvey P. Dale, Aug 11 2014

Mathematica

CoefficientList[Series[1/((1-4x)(1-7x)(1-8x)(1-11x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{30, -325, 1500, -2464}, {1, 30, 575, 9000}, 20] (* Harvey P. Dale, Aug 11 2014 *)

Crossrefs

Sequence in context: A028174 A028149 A028172 * A028099 A028140 A028169

Adjacent sequences: A028144 A028145 A028146 * A028148 A028149 A028150

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved