A119423 Denominators of coefficients in a continued fraction expansion of the Gamma function.

2021, 125896643, 4596084813365743279, 20539143739435534417826656817767471, 154187684682287395130815676867766056654304274786409523983, 53758055914442388300525602657237655353613236528990789014340068307611233396794963869, 582235181033697130010052826698193975503732624065579606751772525345364278965643722001124189437614592415486167547436141091

Offset

1,1

Links

David W. Cantrell, Table of n, a(n) for n = 1..18

David W. Cantrell, A new convergent expansion for the gamma function, sci.math.num-analysis, Nov 05, 2001

Example

For Re(z) > 0, Gamma(z + 1/2) = sqrt(2*pi)*(z/e)^z / [1 + 1/( 24*z - 1/2 + CF(z) )] where continued fraction CF(z) = 1/(c_1*z + 1/(c_2*z + 1/(c_3*z + ...))) with c_1 = 1440/2021, c_2 = 686186088/125896643, c_3 = 1521596612992267104/4596084813365743279, ...

Mathematica

See A119422.

Crossrefs

Numerators given in A119422.

Sequence in context: A252327 A252326 * A176913 A013687 A257766 A359839

Adjacent sequences: A119420 A119421 A119422 * A119424 A119425 A119426

Keyword

frac,nonn

Author

David W. Cantrell (DWCantrell(AT)sigmaxi.net), May 18 2006

Status

approved