A020568 G.f.: 1/((1-5x)(1-10x)(1-12x)).

1, 27, 499, 7863, 113731, 1561647, 20724139, 268611543, 3422947891, 43073421567, 536871293179, 6642406690023, 81708636139651, 1000502412972687, 12206022852156619, 148472243708301303

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (27,-230,600).

Formula

a(0)=1, a(1)=27, a(2)=499, a(n)=27*a(n-1)-230*a(n-2)+600*a(n-3) From Harvey P. Dale, May 22 2012

a(n) = 5*5^n/7 -10*10^n +72*12^n/7. - R. J. Mathar, Jun 30 2013

Mathematica

CoefficientList[Series[1/((1-5x)(1-10x)(1-12x)), {x, 0, 40}], x] (* or *) LinearRecurrence[{27, -230, 600}, {1, 27, 499}, 40] (* Harvey P. Dale, May 22 2012 *)

Crossrefs

Sequence in context: A025956 A020724 A021994 * A021734 A019752 A001709

Adjacent sequences: A020565 A020566 A020567 * A020569 A020570 A020571

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved