A062545 Continued fraction for the 2nd du Bois-Reymond constant.

0, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129

Offset: 0

Author

Jason Earls, Jun 26 2001

Keywords

• cofr
• easy
• nonn

References

• Francois Le Lionnais, Les nombres remarquables, Paris, Hermann 1983, pp. 23.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Eric Weisstein's World of Mathematics, du Bois-Reymond Constants.
• Index entries for linear recurrences with constant coefficients, signature (2, -1).

Crossrefs

Cf. A062546.

Programs

Mathematica

Join[{0}, LinearRecurrence[{2, -1}, {5, 7}, 100]] (* Vladimir Joseph Stephan Orlovsky, Feb 20 2012 *)
ContinuedFraction[(E^2 - 7)/2, 40] (* Alonso del Arte, Feb 20 2012 *)

PARI

contfrac((exp(2)-7)/2)