The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A094090 Decimal expansion of positive solution to 5*(1-exp(u)) + u*exp(u) = 0. 6
 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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This purely mathematical constant turns up when in physics one derives Wien's displacement law from the Planck black-body radiation law (see link). Positive solution to x = 5*(1-exp(-x)). More comments in A256500. - Stanislav Sykora, Apr 01 2015 LINKS Stanislav Sykora, Table of n, a(n) for n = 1..2000 NIST, Wien displacement law constant, in Fundamental Physical Constants. Eric Weisstein's World of Physics, Wien's Displacement Law Wikipedia, Planck's law FORMULA u = 5 + W(-5*exp(-5)), where W() is Lambert's W-function. EXAMPLE u=4.965114231744276... MATHEMATICA RealDigits[5 + ProductLog[ -5/E^5], 10, 120][[1]] (* Robert G. Wilson v, May 04 2004 *) PROG (PARI) a5=solve(x=0.1, 10, x-5*(1-exp(-x))) \\ Use real precision in excess CROSSREFS Cf. A194567, A256500, A256501. Sequence in context: A338142 A245299 A201415 * A200632 A186723 A008959 Adjacent sequences:  A094087 A094088 A094089 * A094091 A094092 A094093 KEYWORD cons,nonn AUTHOR Jeppe Stig Nielsen, May 01 2004 EXTENSIONS More terms from Robert G. Wilson v, May 04 2004 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 6 13:24 EST 2021. Contains 349563 sequences. (Running on oeis4.)