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A248867 Decimal expansion of the smaller of the two real solutions of the equation x^(x-1) = x+1. 0
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 (list; constant; graph; refs; listen; history; text; internal format)
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: A200391 A011092 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

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Last modified August 6 09:38 EDT 2020. Contains 336245 sequences. (Running on oeis4.)