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A007515 Continued fraction for Wirsing's constant.
(Formerly M2267)
3
0, 3, 3, 2, 2, 3, 13, 1, 174, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 5, 6, 1, 1, 73, 1, 4, 2, 3, 8, 1, 15, 1, 1, 4, 5, 1, 1, 3, 2, 1, 2, 2, 5, 2, 1, 3, 1, 1, 1, 3, 1, 5, 1, 3, 1, 2, 1, 2, 1, 2, 34, 1, 1, 5, 1, 2, 7, 2, 1, 2, 4, 1, 1, 23, 15, 2, 1, 2, 3, 1, 1, 7, 1, 3, 2, 1, 8, 3, 2, 1, 1, 8, 93, 1, 8, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

D. E. Knuth, The Art of Computer Programming. Addison-Wesley, Reading, MA, Vol. 2, p. 350.

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

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..387

G. Xiao, Contfrac

Simon Plouffe, The Gauss-Kuzmin-Wirsing constant

Index entries for continued fractions for constants

Eric Weisstein's World of Mathematics, Gauss-Kumin-Wirsing Constant

Eric Weisstein's World of Mathematics, Gauss-Kuzmin-Wirsing Constant

EXAMPLE

0.3036630029... = [0,3,3,2,2,3,13,1,174,1,...]

PROG

(PARI) { default(realprecision, 382); lambda=0.\ 30366300289873265859744812190155623311087735225365\ 78951882454814672269952942469109843408119343636368\ 11098272263710616938474614859745801316065265381818\ 23787913244613989647642974095044629375949048702977\ 28772511058335175922044472408659119650778105589295\ 79186714752925653642591844121784234492057255294269\ 10040657788006767324303643964013896927671340737822\ 86711534915435462112848419717968; x=contfrac(lambda); for (n=1, 388, write("b007515.txt", n-1, " ", x[n])); } \\ Harry J. Smith, May 13 2009

CROSSREFS

Cf. A038517.

Sequence in context: A304031 A162235 A113780 * A293729 A319297 A309569

Adjacent sequences:  A007512 A007513 A007514 * A007516 A007517 A007518

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane, Robert G. Wilson v

EXTENSIONS

Extended by Eric W. Weisstein using a computation of Keith Briggs, Jul 08 2003

STATUS

approved

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Last modified October 21 06:39 EDT 2019. Contains 328292 sequences. (Running on oeis4.)