OFFSET
1,3
COMMENTS
Continued fraction expansion is A131916.
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
Mark B. Villarino, Ramanujan's Harmonic Number Expansion into Negative Powers of a Triangular Number, arXiv:0707.3950 [math.CA], 2007. Constant occurs in Theorem 6, formula (1.13), page 6.
FORMULA
Martin Fuller corrected a typo in the cited paper. It should be: ((12 * gamma) - 11 + (12 * log(sqrt(2)))) / (1 - gamma - log(sqrt(2))) or more simply: 1 / (1 - gamma - log(sqrt(2))) - 12.
EXAMPLE
1.1215093407317605227686154352944471024565027863162667052816...
MATHEMATICA
RealDigits[1/(1-EulerGamma-Log[Sqrt[2]])-12, 10, 120][[1]] (* Harvey P. Dale, Mar 31 2012 *)
PROG
(PARI) 1/(1 - Euler - log(sqrt(2))) - 12 \\ Michel Marcus, Mar 11 2013
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); 1/(1 - EulerGamma(R) - Log(Sqrt(2))) - 12; // G. C. Greubel, Aug 29 2018
CROSSREFS
KEYWORD
AUTHOR
Jonathan Vos Post, Jul 27 2007
STATUS
approved