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Let S1 := (n,t)->add( k^t * add( binomial(n,j), j=0..k), k=0..n); a(n) = S1(n,3).

+0
1

0, 2, 35, 276, 1522, 6820, 26664, 94640, 312512, 975744, 2913280, 8386048, 23416320, 63724544, 169637888, 443043840, 1137934336, 2879979520, 7194083328, 17761304576, 43390730240, 104997322752, 251881062400, 599482433536, 1416470986752, 3324615065600 (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: A041012 A042459 A042353 this_sequence A058089 A055519 A112442` `Adjacent sequences: A089657 A089658 A089659 this_sequence A089661 A089662 A089663`
	KEYWORD	`nonn`
	AUTHOR	`njas, Jan 04 2004`

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.

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