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 A270914 Decimal expansion of a constant related to the asymptotics of A270913. 9
 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 (list; constant; graph; refs; listen; history; text; internal format)
 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

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Last modified May 23 10:34 EDT 2024. Contains 372760 sequences. (Running on oeis4.)