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A083586 Binomial transform of A083580. 0
0, 1, 5, 22, 96, 419, 1819, 7824, 33302, 140317, 585873, 2427146, 9989068, 40886295, 166600967, 676368388, 2737758594, 11055063953, 44553867901, 179280877950, 720513441080, 2892804682891, 11605214879475, 46528078138232 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..23.

Index entries for linear recurrences with constant coefficients, signature (11,-43,69,-36)

FORMULA

a(n) = 2*4^n/3 -5/12 -n*3^(n-1)/2 -3^n/4.

O.g.f.: x*(1-6*x+10*x^2)/[(-1+x)(-1+4*x)(-1+3*x)^2]. - R. J. Mathar, Apr 02 2008

MATHEMATICA

LinearRecurrence[{11, -43, 69, -36}, {0, 1, 5, 22}, 30] (* Harvey P. Dale, Jul 19 2015 *)

CROSSREFS

Sequence in context: A026861 A026888 A266430 * A200676 A297333 A129158

Adjacent sequences:  A083583 A083584 A083585 * A083587 A083588 A083589

KEYWORD

easy,nonn

AUTHOR

Paul Barry, May 01 2003

STATUS

approved

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Last modified February 23 12:03 EST 2019. Contains 320431 sequences. (Running on oeis4.)