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%I A278300 #24 Jun 19 2023 07:12:35
%S A278300 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 A278300 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 A278300 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 A278300 Decimal expansion of a constant related to the asymptotics of A204249.
%H A278300 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 A278300 Equals limit n->infinity (A204249(n)/(n!)^2)^(1/n).
%F A278300 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 A278300 2.4554074822841279493757674026201760989493526408839235880697056011282...
%t A278300 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 A278300 Cf. A204249.
%K A278300 nonn,cons
%O A278300 1,1
%A A278300 _Vaclav Kotesovec_, Dec 01 2016
%E A278300 More digits from _Vaclav Kotesovec_, Jun 13 2021

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