A322166 Decimal expansion of 2/W(2*e^5), where W is the Lambert W function.

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

Offset: 0

Author

José María Grau Ribas, Nov 29 2018

Keywords

• nonn
• cons

Comments

n*c is the asymptotic optimal threshold in the returning secretary problem, where n represents the number of pairs of twins.

Examples

			0.4709265439189869297700734392096067...
		

Links

• B. Garrod, How to choose the best twins, Siam J. Discrete Math Vol. 26, No. 1, pp. 384-398. 2012.
• J. M. Grau Ribas A new look at the returning secretary problem, Journal of Combinatorial Optimization, 2018

Crossrefs

Cf. A322167.

Programs

Maple

evalf[90](2/LambertW(2*exp(5))); # Muniru A Asiru, Dec 21 2018

Mathematica

First@RealDigits@N[2/ProductLog[2*E^5], 100]

PARI

2/lambertw(2*exp(5)) \\ Michel Marcus, Dec 21 2018