A025962 Expansion of 1/((1-2x)(1-4x)(1-5x)(1-10x)).

1, 21, 293, 3465, 37821, 396081, 4058293, 41102985, 413760941, 4151788641, 41590878693, 416282134905, 4164721639261, 41656852053201, 416617235689493, 4166418080133225, 41665418007392781, 416660400463837761

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (21, -148, 420, -400).

Formula

a(n) = -2^n/6 +16*4^n/3 -25*5^n/3 +25*10^n/6. - R. J. Mathar, Jun 20 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-4x)(1-5x)(1-10x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{21, -148, 420, -400}, {1, 21, 293, 3465}, 20] (* Harvey P. Dale, Mar 28 2024 *)

Crossrefs

Sequence in context: A275359 A022291 A025944 * A181381 A081137 A027474

Adjacent sequences: A025959 A025960 A025961 * A025963 A025964 A025965

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved