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Search: id:A058649
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| A058649 |
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2^(n-4)*n*(n+1)*(n^2+5*n-2). |
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+0
4
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| 0, 1, 18, 132, 680, 2880, 10752, 36736, 117504, 357120, 1041920, 2939904, 8067072, 21618688, 56770560, 146472960, 372113408, 932511744, 2308571136, 5653135360, 13707509760, 32942063616, 78525759488, 185799278592, 436627046400
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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A. P. Prudnikov, Yu. A. Brychkov and O.I. Marichev, "Integrals and Series", Volume 1: "Elementary Functions", Chapter 4: "Finite Sums", New York, Gordon and Breach Science Publishers, 1986-1992.
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FORMULA
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Sum(i^4 * binomial(n, i), i=1..n) = 2^(n-4)*n*(n+1)*(n^2+5*n-2).
G.f.:(x*(8*x^2-8*x-1))/(2*x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 26 2009]
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CROSSREFS
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Sequence in context: A027566 A041620 A142965 this_sequence A103308 A010824 A022710
Adjacent sequences: A058646 A058647 A058648 this_sequence A058650 A058651 A058652
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KEYWORD
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nonn
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AUTHOR
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Yong Kong (ykong(AT)curagen.com), Dec 26 2000
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