A074269 Continued fraction for the Backhouse constant (A072508).

1, 2, 5, 5, 4, 1, 1, 18, 1, 1, 1, 1, 1, 2, 13, 3, 1, 2, 4, 16, 4, 3, 12, 1, 2, 2, 1, 1, 15, 1, 1, 1, 2, 2, 1, 4, 5, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 6, 1, 22, 3, 11, 2, 1, 13, 2, 7, 2, 5, 2, 17, 1, 1, 4, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 3, 3, 14, 551, 1, 1, 1, 1, 8, 2, 28, 1, 5, 6

Offset: 0

Author

Robert G. Wilson v, Sep 20 2002

Keywords

• cofr
• nonn

Links

• S. R. Finch, Backhouse's constant. 1995 [Cached copy, with permission]
• Philippe Flajolet, in response to the previous document from S. R. Finch, Backhouse's constant, 1995
• S. R. Finch, Kalmar's Composition Constant, Section 5.5 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 292-295, 2003. [Cached copy, with permission]
• S. R. Finch, Kalmar's composition constant, June 5, 2003. [A different version. Cached copy, with permission of the author]
• Eric Weisstein's World of Mathematics, Backhouse's Constant

Crossrefs

Cf. A072508 (decimal expansion).

Programs

Mathematica

(* down load the constant from the link above & set it equal to a *) ContinuedFraction[a, 100]

Extensions

Offset changed by Andrew Howroyd, Jul 06 2024