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A089665
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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,2).
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0
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0, 4, 73, 788, 6630, 48120, 316526, 1940568, 11284380, 62968560, 339954670, 1786320184, 9176663028, 46248446608, 229285525420, 1120646918000, 5409322603896, 25824570392544, 122086747617198, 572130452101240, 2660063893120900, 12279619924999504, 56318986959592676
(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: A081460 A055556 A168299 * A092871 A090212 A137046
Adjacent sequences: A089662 A089663 A089664 * A089666 A089667 A089668
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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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