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 A060100 Fifth column (m=4) of triangle A060098. 2
 1, 5, 19, 55, 140, 316, 660, 1284, 2370, 4170, 7062, 11550, 18348, 28380, 42900, 63492, 92235, 131703, 185185, 256685, 351208, 474760, 634712, 839800, 1100580, 1429428, 1841100, 2352732, 2984520, 3759720, 4705464, 5852760, 7237461, 8900265, 10887855 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Partial sums of A038164. LINKS Colin Barker, Table of n, a(n) for n = 0..1000 Jia Huang, Partially Palindromic Compositions, J. Int. Seq. (2023) Vol. 26, Art. 23.4.1. See pp. 4, 20. Index entries for linear recurrences with constant coefficients, signature (5,-6,-10,29,-9,-36,36,9,-29,10,6,-5,1). FORMULA a(n)= sum(A060098(n+4, 4)). G.f.: 1/((1-x^2)^4*(1-x)^5) = 1/((1-x)^9*(1+x)^4). a(n) = (315*(3797+299*(-1)^n) + 12*(204347+4165*(-1)^n)*n + 2*(970241+4095*(-1)^n)*n^2 + 28*(28457+15*(-1)^n)*n^3 + 189168*n^4 + 26936*n^5 + 2268*n^6 + 104*n^7 + 2*n^8) / 1290240. - Colin Barker, Jan 17 2017 PROG (PARI) Vec(1 / ((1-x)^9*(1+x)^4) + O(x^40)) \\ Colin Barker, Jan 17 2017 CROSSREFS Sequence in context: A055365 A209817 A281156 * A053733 A032194 A024532 Adjacent sequences: A060097 A060098 A060099 * A060101 A060102 A060103 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Apr 06 2001 STATUS approved

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Last modified May 21 00:01 EDT 2024. Contains 372720 sequences. (Running on oeis4.)