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URL: https://oeis.org/A213818

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A213818

Antidiagonal sums of the convolution array A213773.

3

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

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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

Sequence in context: A174642 A374160 A061624 * A004302 A277106 A000554

Adjacent sequences: A213815 A213816 A213817 * A213819 A213820 A213821

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 04 2012

STATUS

approved