A060100 Fifth column (m=4) of triangle A060098.

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

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