A213818 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

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

(list; graph; refs; listen; history; text; internal format)

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