A248867 Decimal expansion of the smaller of the two real solutions of the equation x^(x-1) = x+1.

4, 7, 5, 8, 6, 0, 8, 1, 2, 3, 9, 2, 4, 5, 2, 7, 8, 4, 7, 9, 3, 1, 1, 7, 4, 6, 0, 1, 5, 4, 6, 1, 2, 1, 3, 1, 2, 3, 4, 7, 9, 0, 1, 6, 8, 1, 2, 3, 9, 7, 8, 7, 0, 7, 4, 6, 4, 6, 3, 9, 5, 0, 5, 3, 2, 8, 9, 2, 0, 6, 5, 5, 4, 2, 2, 7, 8, 7, 4, 5, 8, 0, 2, 3, 1, 4, 1, 4, 2, 6, 4, 2, 5, 5, 2, 0, 3, 3, 8, 1, 7, 9, 5, 9, 4

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 59.

Teik-Cheng Lim, Potential energy function based on the narcissus constant, its square and its cube, J. Math. Chem. 43 (2008) 304—313; MR2449420.

Example

0.4758608123924527847931174601546121312347901681239787...

Mathematica

digits = 105; x /. FindRoot[x^(x-1) == x+1, {x, 1/2}, WorkingPrecision -> digits+5] // RealDigits[#, 10, digits]& // First

Prog

(PARI) solve(x=1/4, 1, x^(x-1) - (x+1)) \\ Michel Marcus, Mar 04 2015

Crossrefs

Cf. A246825.

Sequence in context: A011092 A358924 A086203 * A199441 A196566 A197566

Adjacent sequences: A248864 A248865 A248866 * A248868 A248869 A248870

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Mar 04 2015

Status

approved