OFFSET
1,3
COMMENTS
L - log(Pi-1)/log(2) ~ 0.00000171037285384 ~ 1/Pi^11.5999410273. - Gerald McGarvey, Aug 17 2004
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge, 2003, p. 319 and 556.
LINKS
László Babai and Tamás Lengyel, A convergence criterion for recurrent sequences with application to the partition lattice, Analysis, Vol. 12, No. 1-2 (1992), pp. 109-120; preprint.
Tamás Lengyel, On a recurrence involving Stirling numbers, European Journal of Combinatorics, Vol. 5, No. 4 (1984), pp. 313-321.
Tamás Lengyel, On some 2-adic properties of a recurrence involving Stirling numbers, p-Adic Numbers Ultrametric Anal. Appl., Vol. 4, No. 3 (2012), pp. 179-186.
Simon Plouffe, The Lengyel constant. [broken link]
Thomas Prellberg, On the asymptotic analysis of a class of linear recurrences (slides).
Eric Weisstein's World of Mathematics, Lengyel's Constant.
FORMULA
Equals lim_{n->oo} A005121(n) * (2*log(2))^n * n^(1+log(2)/3) / n!^2. - Amiram Eldar, Jun 27 2021
EXAMPLE
1.0986858055251870130177463257213318079312220710644268407410427815783217...
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jul 07 2003
EXTENSIONS
More terms from Vaclav Kotesovec, Mar 11 2014
STATUS
approved