id:A089666 - OEIS Search Results

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Let S2 := (n,t)->add( k^t * (add( binomial(n,j), j=0..k))^2, k=0..n); a(n) = S2(n,3).

+0
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0, 4, 137, 2136, 23452, 209840, 1640346, 11648224, 76976048, 481048128, 2874897670, 16564931504, 92584313112, 504313834336, 2687067833492, 14045889333120, 72202366588096, 365713117287680, 1828223537042142, 9032706189007888, 44158716127799240, 213826835772518304 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`Jun Wang and Zhizheng Zhang, On extensions of Calkin's binomial identities, Discrete Math., 274 (2004), 331-342.`
	FORMULA	`There is an explicit formula for the sum - see Wang and Zhang.`
	CROSSREFS	`Sequence in context: A054052 A012070 A001374 this_sequence A029850 A093981 A055304` `Adjacent sequences: A089663 A089664 A089665 this_sequence A089667 A089668 A089669`
	KEYWORD	`nonn`
	AUTHOR	`njas, Jan 04 2004`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

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