A028093 Expansion of 1/((1-3x)(1-7x)(1-9x)(1-10x)).

1, 29, 540, 8230, 111911, 1414839, 17015290, 197394560, 2229204021, 24659970049, 268405356440, 2883764656890, 30659268255331, 323156832303659, 3381832557579990, 35179011908571220, 364094453676865841

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (29, -301, 1299, -1890).

Formula

a(0)=1, a(1)=29, a(2)=540, a(3)=8230, a(n)=29*a(n-1)-301*a(n-2)+ 1299*a(n-3)-1890*a(n-4). [Harvey P. Dale, Sep 02 2011]

a(n)=(8*10^(n+3)-14*9^(n+3)+7^(n+4)-3^(n+3))/168. [Yahia Kahloune, May 30 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-7x)(1-9x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{29, -301, 1299, -1890}, {1, 29, 540, 8230}, 30] (* Harvey P. Dale, Sep 02 2011 *)

Crossrefs

Sequence in context: A028168 A028139 A028137 * A153816 A028091 A028125

Adjacent sequences: A028090 A028091 A028092 * A028094 A028095 A028096

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved