A062546 Decimal expansion of the 2nd Du Bois-Reymond constant.

1, 9, 4, 5, 2, 8, 0, 4, 9, 4, 6, 5, 3, 2, 5, 1, 1, 3, 6, 1, 5, 2, 1, 3, 7, 3, 0, 2, 8, 7, 5, 0, 3, 9, 0, 6, 5, 9, 0, 1, 5, 7, 7, 8, 5, 2, 7, 5, 9, 2, 3, 6, 6, 2, 0, 4, 3, 5, 6, 3, 9, 1, 1, 2, 6, 1, 2, 8, 6, 8, 9, 8, 0, 3, 9, 5, 2, 8, 8, 8, 1, 6, 9, 2, 1, 5, 6, 2, 4, 2, 5, 3, 9, 5, 6, 0, 8, 9, 7, 3, 8, 6, 8, 7, 6

Offset: 0

Author

Jason Earls, Jun 26 2001

Keywords

• cons
• easy
• nonn

Examples

			0.194528049465325113...
		

References

• Steven R. Finch, Mathematical Constants, Cambridge, 2003, p. 238.
• Francois Le Lionnais, Les nombres remarquables, Paris, Hermann, 1983, p. 23.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Simon Plouffe, Du Bois-Reymond constant to 1024 digits.
• Simon Plouffe, The Du Bois-Reymond constant to 1024 digits.
• Eric Weisstein's World of Mathematics, du Bois-Reymond Constants.

Crossrefs

Cf. A062545, A224196 (c3), A207528 (c4), A243108 (c5), A245333 (c6).

Cf. A073747 (has a similar continued fraction).

Programs

Mathematica

RealDigits[(E^2 - 7)/2, 10, 105][[1]] (* Jean-François Alcover, Jun 12 2018 *)

PARI

(exp(2)-7)/2 \\ Stefano Spezia, Dec 10 2024

Formula

Equals (exp(2)-7)/2.

Continued fraction: [0, 5, 7, 9, 11, 13, ...]. - Gerald McGarvey, Oct 15 2005

Equals exp(1)*cosh(1) - 4 = BesselI(1/2, 1)/BesselI(3/2, 1) - 3. - Terry D. Grant, Jul 20 2018