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A088802 Denominators of coefficients of powers of n^(-1) in the Romanovsky series expansion of the mean of the standard deviation from a normal population. 5
1, 4, 32, 128, 2048, 8192, 65536, 262144, 8388608, 33554432, 268435456, 1073741824, 17179869184, 68719476736, 549755813888, 2199023255552, 140737488355328, 562949953421312, 4503599627370496, 18014398509481984 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Is this the same sequence as A123854? - N. J. A. Sloane, 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

LINKS

Table of n, a(n) for n=0..19.

Eric Weisstein's World of Mathematics, Standard Deviation Distribution

PROG

(PARI) {a(n) = if( n<0, 0, 2^(3*n - subst( Pol( binary( n ) ), x, 1) ) ) } /* Michael Somos, Aug 23 2007 */

CROSSREFS

Cf. A088801, A126963.

Sequence in context: A267668 A239056 A088658 * A123854 A113154 A270161

Adjacent sequences:  A088799 A088800 A088801 * A088803 A088804 A088805

KEYWORD

nonn,frac

AUTHOR

Eric W. Weisstein, Oct 16 2003

STATUS

approved

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Last modified March 26 16:31 EDT 2017. Contains 284137 sequences.