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URL: https://oeis.org/A213823

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A213823

Principal diagonal of the convolution array A213822.

3

4, 41, 147, 358, 710, 1239, 1981, 2972, 4248, 5845, 7799, 10146, 12922, 16163, 19905, 24184, 29036, 34497, 40603, 47390, 54894, 63151, 72197, 82068, 92800, 104429, 116991, 130522, 145058, 160635, 177289

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OFFSET

1,1

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n) = (-n - 3n^2 + 12*n^3)/2.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).

G.f.: f(x)/g(x), where f(x) = x*(4 + 25*x + 7*x^2) and g(x) = (1-x)^4.

MATHEMATICA

(See A213822.)

CROSSREFS

Sequence in context: A119527 A074991 A294972 * A296800 A273418 A273446

Adjacent sequences: A213820 A213821 A213822 * A213824 A213825 A213826

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 04 2012

STATUS

approved