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A108400
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a(n) = Product_{k = 0..n} k!*2^k ...
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9
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1, 2, 16, 768, 294912, 1132462080, 52183852646400, 33664847019245568000, 347485857744891213250560000, 64560982045934655213753964953600000, 239901585047846581083822477336190648320000000
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OFFSET
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0,2
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COMMENTS
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Hankel transform (see A001906 for definition) of the sequences A000898, A001861, A035009(with first term omitted), A047974, A067147(unsigned version), A083886.
Hankel transform of the sequence with e.g.f. exp(x^2). Also (-1)^C(n+1,2)*A108400(n) is the Hankel transform of the sequence with e.g.f. exp(-x^2). - Paul Barry, Feb 12 2008
Let T(n,k)=(n+1)^(k)(1+(-1)^(n-k))/2. Then a(n)=det(T(i,j);0<=i,j<=n). - Paul Barry, Feb 12 2008
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REFERENCES
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M. E. Larsen, Wronskian Harmony, Mathematics Magazine, vol. 63, no. 1, 1990, pp. 33-37.
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LINKS
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Table of n, a(n) for n=0..10.
J. W. Layman, The Hankel Transform and Some of its Properties, J. Integer Sequences, 4 (2001), #01.1.5.
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FORMULA
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a(n) = A006125(n+1)*A000178(n).
a(n)=product{i=1..n, product{j=0..i-1, 2i-2j}}; [From Paul Barry, Aug 02 2008]
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CROSSREFS
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Sequence in context: A015188 A005118 * A186002 A013029 A012915 A012920
Adjacent sequences: A108397 A108398 A108399 * A108401 A108402 A108403
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KEYWORD
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nonn,easy
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AUTHOR
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Philippe DELEHAM, Jul 02 2005
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STATUS
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approved
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