A025958 Expansion of 1/((1-2x)(1-4x)(1-5x)(1-6x)).

1, 17, 185, 1645, 13041, 96117, 674185, 4565165, 30122081, 194911717, 1242462585, 7828123485, 48869031121, 302849847317, 1865814241385, 11440608686605, 69880858180161, 425505538990917, 2584272622186585

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (17,-104,268,-240).

Formula

a(n) = -2^n/3 +16*4^n/1 -125*5^n/3 +27*6^n/1. - R. J. Mathar, Jun 20 2013

a(0)=1, a(1)=17, a(2)=185, a(3)=1645, a(n)=17*a(n-1)-104*a(n-2)+ 268*a(n-3)- 240*a(n-4). - Harvey P. Dale, Oct 10 2015

Mathematica

CoefficientList[Series[1/((1-2x)(1-4x)(1-5x)(1-6x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{17, -104, 268, -240}, {1, 17, 185, 1645}, 30] (* Harvey P. Dale, Oct 10 2015 *)

Crossrefs

Sequence in context: A181401 A243419 A270497 * A199674 A369332 A022741

Adjacent sequences: A025955 A025956 A025957 * A025959 A025960 A025961

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved