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 A023772 Expansion of 1/((1-x)(1-5x)(1-9x)(1-12x)). 1
 1, 27, 490, 7530, 105991, 1416477, 18318520, 231807060, 2890036381, 35658042927, 436707179350, 5319843165390, 64552636279171, 781063825879377, 9430663254710980, 113689073300930520, 1368959098545618361 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (27,-239,753,-540). FORMULA a(n) = 27*a(n-1) - 239*a(n-2) + 753*a(n-3) - 540*a(n-4), with a(0)=1, a(1)=27, a(2)=490, a(3)=7530. [Harvey P. Dale, Mar 07 2012] a(n) = (32*12^(n+3) - 77*9^(n+3) + 66*5^(n+3) -21)/7392. [Yahia Kahloune, Jun 27 2013] MATHEMATICA CoefficientList[Series[1/((1-x)(1-5x)(1-9x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{27, -239, 753, -540}, {1, 27, 490, 7530}, 30] (* Harvey P. Dale, Mar 07 2012 *) PROG (Magma) m:=25; R:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-5*x)*(1-9*x)*(1-12*x)))); // Vincenzo Librandi, Jul 12 2013 CROSSREFS Sequence in context: A042408 A023946 A020971 * A020726 A020969 A025956 Adjacent sequences: A023769 A023770 A023771 * A023773 A023774 A023775 KEYWORD nonn,easy AUTHOR N. J. A. Sloane. STATUS approved

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Last modified July 25 07:50 EDT 2024. Contains 374586 sequences. (Running on oeis4.)