A278300 Decimal expansion of a constant related to the asymptotics of A204249.

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

Offset: 1

Author

Vaclav Kotesovec, Dec 01 2016

Keywords

• nonn
• cons

Examples

			2.4554074822841279493757674026201760989493526408839235880697056011282...
		

Links

• Steven R. Finch, Mathematical Constants II, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 2018, p. 187.

Crossrefs

Cf. A204249.

Programs

Mathematica

RealDigits[-2*LambertW[-1, -1/(2*Exp[1/2])]^2 / (1 + 2*LambertW[-1, -1/(2*Exp[1/2])]), 10, 120][[1]] (* Vaclav Kotesovec, Jun 13 2021 *)

Formula

Equals limit n->infinity (A204249(n)/(n!)^2)^(1/n).

Equals -2*LambertW(-1, -1/(2*exp(1/2)))^2 / (1 + 2*LambertW(-1, -1/(2*exp(1/2)))). - Vaclav Kotesovec, Jun 13 2021

Extensions

More digits from Vaclav Kotesovec, Jun 13 2021