A213818 Antidiagonal sums of the convolution array A213773.

1, 12, 60, 190, 465, 966, 1792, 3060, 4905, 7480, 10956, 15522, 21385, 28770, 37920, 49096, 62577, 78660, 97660, 119910, 145761, 175582, 209760, 248700, 292825, 342576, 398412, 460810, 530265, 607290, 692416

Offset

1,2

Links

Clark Kimberling, Table of n, a(n) for n = 1..299

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

a(n) = (2*n - n^2 + 3*n^4)/4.

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).

G.f.: f(x)/g(x), where f(x) = x*(1 + 7*x + 10*x^2) and g(x) = (1-x)^5.

a(n) = A000217(n) * A005448(n). - John Elias, Jan 04 2022

Mathematica

(See A213773.)

Crossrefs

Cf. A213773.

Sequence in context: A112415 A174642 A061624 * A004302 A277106 A000554

Adjacent sequences: A213815 A213816 A213817 * A213819 A213820 A213821

Keyword

nonn,easy

Author

Clark Kimberling, Jul 04 2012

Status

approved