[seqfan] Re: 2(x - 1)^x = x^x

[Simon Plouffe]

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Hello,

 The number : 0.722892081183147795532365351219771674355877736768641720125436
5151991334348752469431309465384425833668792370029595892746086.
was passed in the Inverter or Inverse Symbolic Calculator and found
nothing.

I used the algebraic test, the supersmart test and the PSLQ test.

 I don't know what it is :
 My impression is that the number of course is the solution to
a transc. equation, it did not find anything colliding with the LambertW
function either. As far as I know there are 2 possibilities, the first is
a solution related to  W(1), and such and all the others, in this later
category, the simplest example is cos(x)-x = 0.

Best regards,
 Simon Plouffe





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