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Search: id:A093605
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| A093605 |
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Numerators of sqrt(2) term in expected number of complex eigenvalues in an n X n real matrix with entries chosen from a standard normal distribution. |
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+0
1
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| 0, 1, 1, 11, 13, 211, 271, 1919, 2597, 67843, 95259, 588933, 850251, 10098967
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Related to factored form of Beta[ -1,n,3/2].
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LINKS
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Eric Weisstein's World of Mathematics, Random Matrix
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FORMULA
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a(n+1)=sum{k=0..floor(n/2), C(2(n-2k),n-2k)*16^k}/sum{k=0..n, mod(C(n,k),2)}; - Paul Barry (pbarry(AT)wit.ie), Oct 26 2007
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EXAMPLE
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0, 2-sqrt(2), 2-sqrt(2)/2, 4-(11*sqrt(2))/8, 4-(13*sqrt(2))/16, 6-(211*sqrt(2))/128, ...
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CROSSREFS
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Cf. A046161, A052928.
Sequence in context: A144375 A140969 A064759 this_sequence A155967 A111070 A110115
Adjacent sequences: A093602 A093603 A093604 this_sequence A093606 A093607 A093608
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KEYWORD
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nonn,frac,more
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Apr 03, 2004
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