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 A317855 Decimal expansion of a constant related to the asymptotics of A122400. 19
 3, 1, 6, 1, 0, 8, 8, 6, 5, 3, 8, 6, 5, 4, 2, 8, 8, 1, 3, 8, 3, 0, 1, 7, 2, 2, 0, 2, 5, 8, 8, 1, 3, 2, 4, 9, 1, 7, 2, 6, 3, 8, 2, 7, 7, 4, 1, 8, 8, 5, 5, 6, 3, 4, 1, 6, 2, 7, 2, 7, 8, 2, 0, 7, 5, 3, 7, 6, 9, 7, 0, 5, 9, 2, 1, 9, 3, 0, 4, 6, 1, 1, 2, 1, 9, 7, 5, 7, 4, 6, 8, 5, 4, 9, 7, 8, 4, 5, 9, 3, 2, 4, 2, 2, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..105. FORMULA Equals (1+exp(1/r))*r^2, where r = 0.873702433239668330496568304720719298213992... is the root of the equation exp(1/r)/r + (1+exp(1/r))*LambertW(-exp(-1/r)/r) = 0. EXAMPLE 3.161088653865428813830172202588132491726382774188556341627278... MATHEMATICA r = r /. FindRoot[E^(1/r)/r + (1 + E^(1/r)) * ProductLog[-E^(-1/r)/r] == 0, {r, 3/4}, WorkingPrecision -> 120]; RealDigits[(1 + Exp[1/r])*r^2][[1]] PROG (PARI) r=solve(r=.8, 1, exp(1/r)/r + (1+exp(1/r))*lambertw(-exp(-1/r)/r)) (1+exp(1/r))*r^2 \\ Charles R Greathouse IV, Jun 15 2021 CROSSREFS Cf. A121886, A122399, A122400, A122418, A122419, A122420, A227619, A232192, A243802, A244585, A248798, A317340, A326010. Cf. A301584, A301585, A301586, A303056, A303057. Sequence in context: A344574 A337604 A117782 * A301331 A301333 A347231 Adjacent sequences: A317852 A317853 A317854 * A317856 A317857 A317858 KEYWORD nonn,cons AUTHOR Vaclav Kotesovec, Aug 09 2018 STATUS approved

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Last modified December 9 13:48 EST 2023. Contains 367691 sequences. (Running on oeis4.)