A026024 - OEIS

A026024

Expansion of 1/((1-2*x)*(1-5*x)*(1-9*x)*(1-10*x)).

1, 26, 443, 6280, 80481, 969126, 11196103, 125634740, 1380061661, 14917299826, 159239422563, 1683073423200, 17647253908441, 183823250672126, 1904399083525823, 19639540889107660, 201755613688828821

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OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (26,-233,820,-900).

FORMULA

a(0)=1, a(1)=26, a(2)=443, a(3)=6280, a(n)=26*a(n-1)-233*a(n-2)+820*a(n-3)-900*a(n-4). - Harvey P. Dale, Jul 12 2011

a(n) = -2^n/21 +25*5^n/12 -729*9^n/28 +25*10^n/1. - R. J. Mathar, Jun 20 2013

MATHEMATICA

CoefficientList[Series[1/((1-2x)(1-5x)(1-9x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{26, -233, 820, -900}, {1, 26, 443, 6280}, 30] (* Harvey P. Dale, Jul 12 2011 *)

CROSSREFS

Sequence in context: A028062 A028047 A042304 * A026542 A028045 A288714

Adjacent sequences: A026021 A026022 A026023 * A026025 A026026 A026027

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved