A028065 Expansion of 1/((1-3x)(1-5x)(1-8x)(1-10x)).

1, 26, 437, 6058, 75525, 882258, 9876613, 107390426, 1143865349, 12003195490, 124572616389, 1282173260394, 13113918930373, 133479729281522, 1353536864252165, 13685361486439162, 138053939020888197

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (26, -239, 910, -1200).

Formula

a(n)=(3*10^(n+3)-7*8^(n+3)+7*5^(n+3)-3^(n+4))/210. [Yahia Kahloune, Jun 08 2013]

a(0)=1, a(1)=26, a(2)=437, a(3)=6058, a(n)=26*a(n-1)-239*a(n-2)+ 910*a(n-3)- 1200*a(n-4). - Harvey P. Dale, Nov 03 2015

Mathematica

CoefficientList[Series[1/((1-3x)(1-5x)(1-8x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{26, -239, 910, -1200}, {1, 26, 437, 6058}, 30] (* Harvey P. Dale, Nov 03 2015 *)

Crossrefs

Sequence in context: A028117 A028076 A028005 * A028113 A026562 A028062

Adjacent sequences: A028062 A028063 A028064 * A028066 A028067 A028068

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved