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A278300 Decimal expansion of a constant related to the asymptotics of A204249. 1
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Steven R. Finch, Mathematical Constants II, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 2018, p. 187.
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
EXAMPLE
2.4554074822841279493757674026201760989493526408839235880697056011282...
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 *)
CROSSREFS
Cf. A204249.
Sequence in context: A165044 A274079 A296372 * A034214 A317749 A253415
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Dec 01 2016
EXTENSIONS
More digits from Vaclav Kotesovec, Jun 13 2021
STATUS
approved

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Last modified July 21 21:26 EDT 2024. Contains 374475 sequences. (Running on oeis4.)