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

0,2

References

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 238.

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

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

Example

0.194528049465325113...

Mathematica

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

Crossrefs

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

Cf. A073747 (has a similar continued fraction)..

Sequence in context: A199179 A344949 A300072 * A245887 A336603 A308226

Adjacent sequences: A062543 A062544 A062545 * A062547 A062548 A062549

Keyword

cons,easy,nonn

Author

Jason Earls, Jun 26 2001

Status

approved