A094090 - OEIS

A094090

Decimal expansion of positive solution to 5*(1-exp(u)) + u*exp(u) = 0.

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

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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