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Search: id:A089667
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| A089667 |
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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). |
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+0
1
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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)
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OFFSET
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0,2
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REFERENCES
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Jun Wang and Zhizheng Zhang, On extensions of Calkin's binomial identities, Discrete Math., 274 (2004), 331-342.
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FORMULA
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There is an explicit formula for the sum - see Wang and Zhang.
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CROSSREFS
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Sequence in context: A112982 A061788 A052136 this_sequence A119008 A108134 A000320
Adjacent sequences: A089664 A089665 A089666 this_sequence A089668 A089669 A089670
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 04 2004
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