id:A089667 - 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,4).

+0
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0, 4, 265, 5984, 85722, 944904, 8771462, 72095520, 541127988, 3785356752, 25032083230, 158102986624, 961123994220, 5656943319664, 32386277835772, 181019819948864, 990793669704552, 5323620638111136, 28137973407708174, 146552649537716992 (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: A112982 A061788 A052136 this_sequence A119008 A108134 A000320` `Adjacent sequences: A089664 A089665 A089666 this_sequence A089668 A089669 A089670`
	KEYWORD	`nonn`
	AUTHOR	`njas, Jan 04 2004`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

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