The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A278300

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A278300

Decimal expansion of a constant related to the asymptotics of A204249.
(history; published version)

#24 by Vaclav Kotesovec at Mon Jun 19 07:12:35 EDT 2023

STATUS

editing

approved

#23 by Vaclav Kotesovec at Mon Jun 19 07:12:29 EDT 2023

KEYWORD

nonn,cons,more

STATUS

approved

editing

#22 by Vaclav Kotesovec at Sun Jun 13 13:49:09 EDT 2021

STATUS

editing

approved

#21 by Vaclav Kotesovec at Sun Jun 13 13:49:03 EDT 2021

FORMULA

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

#20 by Vaclav Kotesovec at Sun Jun 13 13:47:41 EDT 2021

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 *)

#19 by Vaclav Kotesovec at Sun Jun 13 13:44:27 EDT 2021

DATA

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

EXTENSIONS

More digits from Vaclav Kotesovec, Jun 13 2021

#18 by Vaclav Kotesovec at Sun Jun 13 13:42:58 EDT 2021

EXAMPLE

2.4554074822841279494554074822841279493757674026201760989493526408839235880697056011282...

#17 by Vaclav Kotesovec at Sun Jun 13 13:37:33 EDT 2021

LINKS

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.

STATUS

approved

editing

#16 by Vaclav Kotesovec at Thu Dec 01 03:37:58 EST 2016

STATUS

editing

approved

#15 by Vaclav Kotesovec at Thu Dec 01 03:37:16 EST 2016

NAME

allocated for Vaclav KotesovecDecimal expansion of a constant related to the asymptotics of A204249.

DATA

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

OFFSET

1,1

FORMULA

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

EXAMPLE

2.455407482284127949...

CROSSREFS

Cf. A204249.

KEYWORD

allocated

nonn,cons,more

AUTHOR

Vaclav Kotesovec, Dec 01 2016

STATUS

approved

editing