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Search: id:A089659
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| A089659 |
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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,2). |
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+0
1
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| 0, 2, 19, 104, 440, 1600, 5264, 16128, 46848, 130560, 352000, 923648, 2369536, 5963776, 14766080, 36044800, 86900736, 207224832, 489357312, 1145569280, 2660761600, 6136266752, 14060355584, 32027705344, 72561459200, 163577856000, 367068708864, 820204535808
(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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Columns : A000012, A000012, A000984, A006480, A008977, A008978.
Sequence in context: A041393 A107123 A055875 this_sequence A101253 A082291 A055518
Adjacent sequences: A089656 A089657 A089658 this_sequence A089660 A089661 A089662
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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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