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A025976 Expansion of 1/((1-2x)(1-4x)(1-8x)(1-9x)). 0
1, 23, 347, 4363, 49683, 532491, 5483299, 54909371, 538792595, 5206523179, 49719923331, 470377414299, 4416615113587, 41215417310987, 382666342963043, 3537819931431547, 32590970730866259, 299323501721262315 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (23, -182, 568, -576).

FORMULA

a(n) = -2*2^n/21 +8*4^n/5 -64*8^n/3 +729*9^n/35. R. J. Mathar, Jun 20 2013

a(0)=1, a(1)=23, a(2)=347, a(3)=4363, a(n)=23*a(n-1)-182*a(n-2)+ 568*a(n-3)- 576*a(n-4). - Harvey P. Dale, Sep 11 2013

MATHEMATICA

CoefficientList[Series[1/((1-2x)(1-4x)(1-8x)(1-9x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{23, -182, 568, -576}, {1, 23, 347, 4363}, 30] (* Harvey P. Dale, Sep 11 2013 *)

CROSSREFS

Sequence in context: A028035 A077309 A042016 * A025989 A125480 A023950

Adjacent sequences:  A025973 A025974 A025975 * A025977 A025978 A025979

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 28 10:20 EDT 2022. Contains 354903 sequences. (Running on oeis4.)