cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A126585 Decimal expansion of solution to exp(-x) = x^4.

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%I A126585 #10 Nov 21 2024 15:41:27
%S A126585 8,1,5,5,5,3,4,1,8,8,0,8,9,6,0,6,5,7,7,7,2,7,2,7,3,2,5,3,0,8,5,5,9,4,
%T A126585 8,0,5,9,7,4,0,9,9,0,8,8,4,0,6,3,8,5,3,9,8,9,3,6,2,5,0,4,0,3,2,7,2,7,
%U A126585 7,4,5,6,2,6,8,3,7,6,2,1,0,4,7,2,6,5,8,2,8,5,2,4,3,1,8,2,4,3,5,2,4,4
%N A126585 Decimal expansion of solution to exp(-x) = x^4.
%H A126585 G. C. Greubel, <a href="/A126585/b126585.txt">Table of n, a(n) for n = 0..10000</a>
%H A126585 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A126585 Equals 4*LambertW(1/4). - _G. C. Greubel_, Mar 06 2018
%e A126585 0.81555341880896065777272732530855948059740990884063853...
%t A126585 RealDigits[ FindRoot[ Exp[ -x] == x^4, {x, {.5, 1}}, WorkingPrecision -> 120][[1, 2, 1]], 10, 111][[1]]
%t A126585 RealDigits[ 4*ProductLog[1/4], 10, 102] // First (* _Jean-François Alcover_, Feb 27 2013 *)
%o A126585 (PARI) 4*lambertw(1/4) \\ _G. C. Greubel_, Mar 06 2018
%Y A126585 Cf. A030178.
%K A126585 cons,nonn
%O A126585 0,1
%A A126585 Denton J. Dailey (denton.dailey(AT)bc3.edu), Jan 05 2007