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 A115287 Decimal expansion of 1/(1+LambertW(1)). 2
 6, 3, 8, 1, 0, 3, 7, 4, 3, 3, 6, 5, 1, 1, 0, 7, 7, 8, 5, 2, 2, 4, 0, 7, 3, 8, 5, 5, 1, 9, 8, 8, 0, 3, 1, 4, 4, 4, 3, 9, 3, 3, 8, 4, 1, 2, 8, 9, 0, 2, 7, 6, 4, 0, 4, 1, 9, 4, 8, 3, 1, 9, 3, 6, 5, 0, 3, 4, 2, 1, 0, 1, 0, 5, 6, 7, 6, 0, 0, 8, 3, 0, 4, 1, 0, 0, 1, 8, 5, 2, 5, 1, 0, 5, 2, 7, 4, 8, 3, 3, 1, 5, 7, 0, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS G. C. Greubel, Table of n, a(n) for n = 0..10000 Cristina B. Corcino, Roberto B. Corcino and István Mező, Continued fraction expansions for the Lambert W function, Aequationes mathematicae, Vol. 93, No. 2 (2019), pp. 485-49. Mathematics Stack Exchange, Interesting integral related to the Omega Constant/Lambert W Function, 2011. Victor H. Moll, Some Questions in the Evaluation of Definite Integrals, MAA Short Course, San Antonio, TX, January 2006. Eric Weisstein's World of Mathematics, Omega Constant. Eric Weisstein's World of Mathematics, Definite Integral. FORMULA Equals Integral_{x=-oo..oo} 1/(Pi^2 + (exp(x)-x)^2) dx (discovered by Victor Adamchik). - Amiram Eldar, Jul 04 2021 EXAMPLE 0.63810374336511077852... MATHEMATICA RealDigits[1/(1 + ProductLog[1]), 10, 105] // First (* Jean-François Alcover, Feb 07 2013 *) PROG (PARI) 1/(1 + lambertw(1)) \\ G. C. Greubel, Nov 05 2017 CROSSREFS Cf. A006153, A030178, A097172, A097173, A097174, A265953, A276231, A302399. Sequence in context: A371376 A096253 A182566 * A061533 A317969 A281682 Adjacent sequences: A115284 A115285 A115286 * A115288 A115289 A115290 KEYWORD nonn,cons,easy AUTHOR Eric W. Weisstein, Jan 19 2006 STATUS approved

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Last modified September 11 06:27 EDT 2024. Contains 375814 sequences. (Running on oeis4.)