A278300 - OEIS

%I #24 Jun 19 2023 07:12:35

%S 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,

%T 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,

%U 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

%N Decimal expansion of a constant related to the asymptotics of A204249.

%H Steven R. Finch, <a href="https://doi.org/10.1017/9781316997741">Mathematical Constants II</a>, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 2018, p. 187.

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

%F Equals -2*LambertW(-1, -1/(2*exp(1/2)))^2 / (1 + 2*LambertW(-1, -1/(2*exp(1/2)))). - _Vaclav Kotesovec_, Jun 13 2021

%e 2.4554074822841279493757674026201760989493526408839235880697056011282...

%t 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 *)

%Y Cf. A204249.

%K nonn,cons

%O 1,1

%A _Vaclav Kotesovec_, Dec 01 2016

%E More digits from _Vaclav Kotesovec_, Jun 13 2021