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Search: id:A088802
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| A088802 |
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Denominators of coefficients of powers of n^(-1) in the Romanovsky series expansion of the mean of the standard deviation from a normal population. |
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+0
5
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| 1, 4, 32, 128, 2048, 8192, 65536, 262144, 8388608, 33554432, 268435456, 1073741824, 17179869184, 68719476736, 549755813888, 2199023255552, 140737488355328, 562949953421312, 4503599627370496, 18014398509481984
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Is this the same sequence as A123854? - njas, Mar 21, 2007
Almost certainly this is the same as A123854. - Michael Somos Aug 23 2007
Asymptotic expansion of Gamma(N/2) / Gamma((N-1)/2) = (N/2)^(1/2) * (c(0) + c(1)/N + c(2)/N^2 + ... ). a(n) = denominator(c(n)). - Michael Somos Aug 23 2007
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LINKS
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Eric Weisstein's World of Mathematics, Standard Deviation Distribution
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PROGRAM
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(PARI) {a(n) = if( n<0, 0, 2^(3*n - subst( Pol( binary( n ) ), x, 1) ) ) } /* Michael Somos Aug 23 2007 */
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CROSSREFS
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Cf. A088801, A126963.
Adjacent sequences: A088799 A088800 A088801 this_sequence A088803 A088804 A088805
Sequence in context: A052469 A033430 A088658 this_sequence A123854 A112850 A113154
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KEYWORD
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nonn,frac
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Oct 16, 2003
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