A152548 - OEIS

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A152548

Sum of squared terms in rows of triangle A152547: a(n) = Sum_{k=0..C(n,[n/2])-1} A152547(n,k)^2.

1, 4, 10, 24, 54, 120, 260, 560, 1190, 2520, 5292, 11088, 23100, 48048, 99528, 205920, 424710, 875160, 1798940, 3695120, 7574996, 15519504, 31744440, 64899744, 132503644, 270415600, 551231800, 1123264800, 2286646200, 4653525600 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`G.f.: A(x) = sqrt( (1+2x)/(1-2x)^3 ).` `a(n) = Sum_{k=0..[(n+1)/2]} C(n+1, k)*(n+1-2k)^3/(n+1).` `a(n) = A107233(n)/(n+1).` `Self-convolution equals A014477.`
	PROG	`(PARI) a(n)=sum(k=0, floor((n+1)/2), binomial(n+1, k)(n+1-2k)^3)/(n+1)`
	CROSSREFS	`Cf. A152547, A107233, A014477.` `Sequence in context: A080615 A173729 A097976 * A090855 A052252 A087447` `Adjacent sequences: A152545 A152546 A152547 * A152549 A152550 A152551`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Dec 14 2008`

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Last modified February 14 06:58 EST 2012. Contains 205577 sequences.