A258234 Decimal expansion of a constant related to A107379.

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

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: A237518 A274649 A343958 * A336075 A159799 A185579

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