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Search: id:A138896
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| A138896 |
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Ratio of (2n-1)! to number of zeros in Sylvester matrix of polynomial of n degree with all nonzero coefficients. |
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+0
3
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| 3, 15, 280, 11340, 798336, 86486400, 13343616000, 2778808032000, 750895681536000, 255454710858547200, 106826515449937920000, 53858368206010368000000, 32215590089995124736000000
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OFFSET
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2,1
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COMMENT
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(2n-1)! = A009445 = number of monomials in determinant of symbolic square matrix of size 2n-1 X 2n-1 without zeros.
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FORMULA
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a(n)=(2 n - 1)!/(2 (n - 1)^2) (n=2,3,4,...)
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MATHEMATICA
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Table[(2 n - 1)!/(2 (n - 1)^2), {n, 2, 20}]
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CROSSREFS
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Cf. A001105, A009445, A007878.
Sequence in context: A013354 A013356 A013353 this_sequence A090627 A070234 A036279
Adjacent sequences: A138893 A138894 A138895 this_sequence A138897 A138898 A138899
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Apr 02 2008
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