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A089668
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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,5).
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0
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0, 4, 521, 17136, 320716, 4356560, 48024786, 456843520, 3893995184, 30487086144, 223052123830, 1544098243424, 10208488021176, 64917814932256, 399310478637476, 2386386863086080, 13906802738650816, 79261768839946496, 442921922267640894
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| Jun Wang and Zhizheng Zhang, On extensions of Calkin's binomial identities, Discrete Math., 274 (2004), 331-342.
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FORMULA
| There is an explicit formula for the sum - see Wang and Zhang.
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CROSSREFS
| Sequence in context: A024058 A022919 A003393 * A083284 A152218 A152463
Adjacent sequences: A089665 A089666 A089667 * A089669 A089670 A089671
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jan 04 2004
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