A028102 Expansion of 1/((1-3x)(1-8x)(1-10x)(1-11x)).

1, 32, 659, 11122, 167577, 2347980, 31293103, 402231494, 5031459653, 61629924928, 742485813147, 8826654123066, 103796247982129, 1209668862433076, 13992495704608391, 160835129915870638, 1838813560663269405, 20926823362807299624, 237222621983376376435

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..957

Index entries for linear recurrences with constant coefficients, signature (32, -365, 1714, -2640).

Formula

a(0)=1, a(1)=32, a(2)=659, a(3)=11122, a(n)=32*a(n-1)-365*a(n-2)+ 1714*a(n-3)- 2640*a(n-4). - Harvey P. Dale, Mar 14 2013

a(n)=(35*11^(n+3)-6*10^(n+4)+28*8^(n+3)-3^(n+4))/840. [Yahia Kahloune, Jun 10 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-8x)(1-10x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{32, -365, 1714, -2640}, {1, 32, 659, 11122}, 30] (* Harvey P. Dale, Mar 14 2013 *)

Crossrefs

Sequence in context: A028176 A028151 A160270 * A028143 A028101 A028097

Adjacent sequences: A028099 A028100 A028101 * A028103 A028104 A028105

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

More terms from Harvey P. Dale, Mar 14 2013

Status

approved