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A258234 Decimal expansion of a constant related to A107379. 7
5, 4, 0, 0, 8, 7, 1, 9, 0, 4, 1, 1, 8, 1, 5, 4, 1, 5, 2, 4, 6, 6, 0, 9, 1, 1, 1, 9, 1, 0, 4, 2, 7, 0, 0, 5, 2, 0, 2, 9, 4, 3, 7, 7, 1, 0, 1, 9, 1, 6, 7, 0, 5, 7, 0, 9, 3, 1, 7, 0, 6, 0, 1, 4, 4, 8, 4, 4, 8, 5, 1, 5, 9, 5, 0, 7, 5, 8, 1, 7, 7, 8, 9, 8, 8, 7, 4, 7, 9, 2, 0, 0, 0, 0, 6, 2, 0, 6, 2, 7, 7, 6, 7, 0, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Limit n->infinity (Integral_{x=0..1} Product_{k=1..n} x^k*(1-x^k) dx)^(1/n) = Limit n->infinity (A258191(n)/A258192(n))^(1/n) = 1/A258234 = 0.18515528932235959464731321119795428527382236445907508398560553036... .

LINKS

Table of n, a(n) for n=1..105.

StackExchange - Mathematica, No response to an infinite limit

FORMULA

Equals limit n->infinity A107379(n)^(1/n).

Equals limit n->infinity A173519(n)^(1/n).

EXAMPLE

5.4008719041181541524660911191042700520294...

MATHEMATICA

r^2/(r-1) /.FindRoot[-PolyLog[2, 1-r] == Log[r]^2, {r, E}, WorkingPrecision->117] (* Vaclav Kotesovec, Jun 11 2015 *)

CROSSREFS

Cf. A107379, A173519, A258191, A258192, A258268, A258788.

Sequence in context: A121021 A237518 A274649 * A159799 A185579 A197134

Adjacent sequences:  A258231 A258232 A258233 * A258235 A258236 A258237

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, May 24 2015

EXTENSIONS

More terms from Vaclav Kotesovec, Jun 09 2015

STATUS

approved

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Last modified June 16 06:46 EDT 2019. Contains 324145 sequences. (Running on oeis4.)