A143307 Decimal expansion of the Takeuchi-Prellberg constant.

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

Offset

1,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, pp. 321-322.

Links

Table of n, a(n) for n=1..25.

Thomas Prellberg, On the asymptotics of Takeuchi numbers, Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics. Springer, Boston, MA, 2001, pp. 231-242; arXiv preprint, arXiv:math/0005008 [math.CO], 2000.

Eric Weisstein's World of Mathematics, Takeuchi-Prellberg Constant.

Formula

Equals lim_{n->oo} exp(-W(n)^2/2)*A000651(n)/A000110(n), where W is the Lambert W function (Prellberg, 2001). - Amiram Eldar, Apr 11 2022

Example

2.239433104005260731754785...

Crossrefs

Cf. A000110, A000651.

Sequence in context: A203371 A181206 A274959 * A278463 A276248 A322891

Adjacent sequences: A143304 A143305 A143306 * A143308 A143309 A143310

Keyword

nonn,cons,more

Author

Eric W. Weisstein, Aug 05 2008

Extensions

More terms (from article by Prellberg) added Vaclav Kotesovec, Sep 16 2013

Status

approved