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Search: id:A089658
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| A089658 |
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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,1). |
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+0
1
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| 0, 2, 11, 42, 136, 400, 1104, 2912, 7424, 18432, 44800, 107008, 251904, 585728, 1347584, 3072000, 6946816, 15597568, 34799616, 77201408, 170393600, 374341632, 818937856, 1784676352, 3875536896, 8388608000, 18102616064, 38956695552, 83617644544, 179046449152
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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.
n(3n+5) * 2^(n-3).
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CROSSREFS
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Sequence in context: A070778 A107020 A079808 this_sequence A140322 A027247 A128241
Adjacent sequences: A089655 A089656 A089657 this_sequence A089659 A089660 A089661
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KEYWORD
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nonn
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AUTHOR
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njas, Jan 04 2004
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