A028140 Expansion of 1/((1-4x)(1-6x)(1-9x)(1-11x)).

1, 30, 577, 9090, 128053, 1682430, 21103129, 256309050, 3041879005, 35492692950, 408887138881, 4665046178130, 52827593605957, 594751348348590, 6665329755603433, 74427620033028330, 828693209595614509

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (30, -323, 1470, -2376).

Formula

a(0)=1, a(1)=30, a(2)=577, a(3)=9090, a(n)=30*a(n-1)-323*a(n-2)+ 1470*a(n-3)- 2376*a(n-4). - Harvey P. Dale, Oct 22 2012

a(n)=(3*11^(n+3)-7*9^(n+3)+7*6^(n+3)-3*4^(n+3))/210. [Yahia Kahloune, Jun 03 2013]

Mathematica

CoefficientList[Series[1/((1-4x)(1-6x)(1-9x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{30, -323, 1470, -2376}, {1, 30, 577, 9090}, 20] (* Harvey P. Dale, Oct 22 2012 *)

Crossrefs

Sequence in context: A028172 A028147 A028099 * A028169 A028094 A028138

Adjacent sequences: A028137 A028138 A028139 * A028141 A028142 A028143

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved