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A086053 Decimal expansion of Lengyel's constant L. 5
1, 0, 9, 8, 6, 8, 5, 8, 0, 5, 5, 2, 5, 1, 8, 7, 0, 1, 3, 0, 1, 7, 7, 4, 6, 3, 2, 5, 7, 2, 1, 3, 3, 1, 8, 0, 7, 9, 3, 1, 2, 2, 2, 0, 7, 1, 0, 6, 4, 4, 2, 6, 8, 4, 0, 7, 4, 1, 0, 4, 2, 7, 8, 1, 5, 7, 8, 3, 2, 1, 7, 4, 4, 3, 6, 9, 6, 6, 5, 6, 0, 8, 2, 3, 2, 2, 4, 2, 3, 9, 1, 7, 4, 4, 7, 4, 9, 7, 9, 9, 0, 6, 6, 0, 5 (list; constant; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=1..105.

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

Cf. A005121, A131407, A260932.

Sequence in context: A082124 A132721 A309948 * A129269 A094145 A002388

Adjacent sequences:  A086050 A086051 A086052 * A086054 A086055 A086056

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Jul 07 2003

EXTENSIONS

More terms from Vaclav Kotesovec, Mar 11 2014

STATUS

approved

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)