A014178 - OEIS

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A014178

Sum( binomial(n,k)^3*binomial(n+k,k),k=0..n).

1, 3, 31, 399, 5871, 93753, 1577479, 27556623, 495001327, 9085988613, 169675769781, 3213444254133, 61573700137431, 1191526503165729, 23252920338835911, 457112339182896399, 9043566887755775727 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	REFERENCES	`C. Elsner, On recurrence formulae for sums involving binomial coefficients, Fib. Q., 43 (No. 1, 2005), 31-45.`
	MAPLE	`f := n->sum( 'binomial(n, k)^3*binomial(n+k, k)^1', 'k'=0..n);`
	CROSSREFS	`Sequence in context: A051200 A136596 A186207 * A123818 A087591 A061053` `Adjacent sequences: A014175 A014176 A014177 * A014179 A014180 A014181`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified February 17 10:05 EST 2012. Contains 206009 sequences.