A270914 Decimal expansion of a constant related to the asymptotics of A270913.

4, 5, 0, 2, 4, 7, 6, 7, 4, 7, 6, 1, 7, 3, 5, 4, 4, 8, 7, 7, 3, 8, 5, 9, 3, 9, 3, 2, 7, 0, 0, 7, 8, 4, 4, 0, 6, 7, 6, 3, 1, 2, 8, 7, 5, 6, 0, 9, 1, 6, 2, 1, 6, 3, 3, 4, 6, 4, 5, 4, 0, 4, 2, 4, 0, 8, 8, 8, 4, 0, 3, 2, 7, 9, 0, 6, 7, 7, 3, 2, 0, 2, 2, 1, 9, 2, 0, 6, 9, 6, 2, 5, 2, 5, 5, 1, 1, 4, 5, 3, 7, 2, 9, 6

Offset

1,1

Comments

This constant is very close to exp(5*Pi/(6*sqrt(2))) / sqrt(2) = 4.502476748630924546525119125234175537729... - Vaclav Kotesovec, May 17 2018

Links

Table of n, a(n) for n=1..104.

Formula

Equals limit n->infinity A270913(n)^(1/n).

Example

4.502476747617354487738593932700784406763128756091621633464540424...

Mathematica

RealDigits[1/r /. FindRoot[{2*s == QPochhammer[-1, r*s], r*Derivative[0, 1][QPochhammer][-1, r*s] == 2}, {r, 1/2}, {s, 1/2}, WorkingPrecision -> 120], 10, 105][[1]] (* Vaclav Kotesovec, Sep 26 2023 *)

Crossrefs

Cf. A181315, A206229, A270913, A270915, A303071, A304626, A327280.

Sequence in context: A200619 A199621 A199390 * A048837 A353450 A087492

Adjacent sequences: A270911 A270912 A270913 * A270915 A270916 A270917

Keyword

nonn,cons

Author

Vaclav Kotesovec, Mar 25 2016

Status

approved