|
|
A028147
|
|
Expansion of 1/((1-4x)(1-7x)(1-8x)(1-11x)).
|
|
0
|
|
|
1, 30, 575, 9000, 125661, 1633410, 20245675, 242827500, 2845466921, 32788860390, 373244969175, 4210842870000, 47192731209781, 526333705304970, 5848962216923075, 64823992266568500, 717024715753610241
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|