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A119423
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Denominators of coefficients in a continued fraction expansion of the Gamma function.
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2
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2021, 125896643, 4596084813365743279, 20539143739435534417826656817767471, 154187684682287395130815676867766056654304274786409523983, 53758055914442388300525602657237655353613236528990789014340068307611233396794963869, 582235181033697130010052826698193975503732624065579606751772525345364278965643722001124189437614592415486167547436141091
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OFFSET
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1,1
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LINKS
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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
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EXAMPLE
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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, ...
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MATHEMATICA
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See A119422.
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CROSSREFS
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Numerators given in A119422.
Sequence in context: A110851 A183768 A119517 * A176913 A013687 A126821
Adjacent sequences: A119420 A119421 A119422 * A119424 A119425 A119426
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KEYWORD
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frac,nonn
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AUTHOR
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David W. Cantrell (DWCantrell(AT)sigmaxi.net), May 18 2006
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STATUS
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approved
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