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A005146 Numerators of numbers occurring in continued fraction connected with expansion of gamma function.
(Formerly M5308)
+0
2
1, 1, 53, 195, 22999, 29944523, 109535241009, 29404527905795295658, 455377030420113432210116914702, 26370812569397719001931992945645578779849, 152537496709054809881638897472985990866753853122697839, 100043420063777451042472529806266909090824649341814868347109676190691 (list; graph; listen)
OFFSET

0,3

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math.Series 55, Tenth Printing, 1972, p. 258.

B. W. Char, On Stieltjes' continued fraction for the gamma function, Math. Comp., 34 (1980), 547-551.

H. S. Wall, Analytic Theory of Continued Fractions, Chelsea 1973, p. 365.

LINKS

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math.Series 55, Tenth Printing, 1972, p. 258.

Peter Luschny, Maple program for A005146/A005147

Peter Luschny, Continued fraction

CROSSREFS

Cf. A005147.

Sequence in context: A061664 A008993 A142088 this_sequence A158644 A158656 A142000

Adjacent sequences: A005143 A005144 A005145 this_sequence A005147 A005148 A005149

KEYWORD

nonn,frac,nice

AUTHOR

Simon Plouffe, N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Rainer Rosenthal, Jan 11 2007

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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