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Search: id:A058667
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| 0, 1, 16, 240, 3840, 67200, 1290240, 27095040, 619315200, 15328051200, 408748032000, 11690193715200, 357082280755200, 11605174124544000, 399932154445824000, 14568957054812160000, 559447950904786944000
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Right side of the binomial sum n-> sum( (-1)^i * (n - 2*i)^(n+2) * binomial(n, i), i=0..n/2)
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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, Eq. (4.2.2.27)
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FORMULA
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a(n) = 2^(n-2)*n*(n+2)!/3
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CROSSREFS
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Sequence in context: A097829 A010559 A063814 this_sequence A005619 A135518 A064232
Adjacent sequences: A058664 A058665 A058666 this_sequence A058668 A058669 A058670
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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 28 2000
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