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

Author

Wolfdieter Lang, Apr 06 2001

Keywords

• nonn
• easy

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).

Programs

PARI

Vec(1 / ((1-x)^9*(1+x)^4) + O(x^40)) \\ Colin Barker, Jan 17 2017

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