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 A099111 Expansion of 1 / ((1+x)*(1-2*x)*(1-3*x)*(1-4*x)*(1-5*x)). 2
 1, 13, 112, 798, 5103, 30471, 173734, 958936, 5170165, 27396369, 143295516, 742128114, 3814432987, 19490910907, 99140278258, 502476527532, 2539579950369, 12806979393285, 64472086878760, 324111808432390 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (13, -57, 83, 34, -120). FORMULA a(n) = (1/360)*(6250*5^n - 9216*4^n + 3645*3^n - 320*2^n + (-1)^n). MATHEMATICA CoefficientList[Series[1/((1+x)(1-2x)(1-3x)(1-4x)(1-5x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{13, -57, 83, 34, -120}, {1, 13, 112, 798, 5103}, 20] (* Harvey P. Dale, Jan 17 2024 *) PROG (Magma) [(1/360)*(6250*5^n - 9216*4^n + 3645*3^n - 320*2^n + (-1)^n): n in [0..20]]; // Vincenzo Librandi, Oct 11 2011 CROSSREFS First differences are in A004058. Pairwise sums are in A025211. Sequence in context: A299884 A299050 A299812 * A264451 A299687 A300319 Adjacent sequences: A099108 A099109 A099110 * A099112 A099113 A099114 KEYWORD nonn,easy AUTHOR Ralf Stephan, Sep 28 2004 STATUS approved

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Last modified May 19 14:45 EDT 2024. Contains 372698 sequences. (Running on oeis4.)