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.
%I A094090 #14 Nov 21 2024 15:34:47 %S A094090 4,9,6,5,1,1,4,2,3,1,7,4,4,2,7,6,3,0,3,6,9,8,7,5,9,1,3,1,3,2,2,8,9,3, %T A094090 9,4,4,0,5,5,5,8,4,9,8,6,7,9,7,2,5,0,9,7,2,8,1,4,4,4,6,1,4,4,7,8,0,4, %U A094090 6,3,9,8,7,9,5,7,4,5,2,9,7,2,2,3,8,2,7,0,4,5,0,6,6,0,0,0,9,6,0,8,2,9,7,7,6 %N A094090 Decimal expansion of positive solution to 5*(1-exp(u)) + u*exp(u) = 0. %C A094090 This purely mathematical constant turns up when in physics one derives Wien's displacement law from the Planck black-body radiation law (see link). %C A094090 Positive solution to x = 5*(1-exp(-x)). More comments in A256500. - _Stanislav Sykora_, Apr 01 2015 %H A094090 Stanislav Sykora, <a href="/A094090/b094090.txt">Table of n, a(n) for n = 1..2000</a> %H A094090 NIST, <a href="http://physics.nist.gov/cgi-bin/cuu/Value?eqbwien">Wien displacement law constant</a>, in Fundamental Physical Constants. %H A094090 Eric Weisstein's World of Physics, <a href="http://scienceworld.wolfram.com/physics/WiensDisplacementLaw.html">Wien's Displacement Law</a> %H A094090 Wikipedia, <a href="http://en.wikipedia.org/wiki/Planck%27s_law">Planck's law</a> %H A094090 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a> %F A094090 u = 5 + W(-5*exp(-5)), where W() is Lambert's W-function. %e A094090 u=4.965114231744276... %t A094090 RealDigits[5 + ProductLog[ -5/E^5], 10, 120][[1]] (* _Robert G. Wilson v_, May 04 2004 *) %o A094090 (PARI) a5=solve(x=0.1, 10, x-5*(1-exp(-x))) \\ Use real precision in excess %Y A094090 Cf. A194567, A256500, A256501. %K A094090 cons,nonn %O A094090 1,1 %A A094090 _Jeppe Stig Nielsen_, May 01 2004 %E A094090 More terms from _Robert G. Wilson v_, May 04 2004