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A316295
Decimal expansion of x such that x^(x+2) = x^x + x^2.
1
1, 4, 9, 1, 7, 7, 9, 7, 0, 9, 3, 3, 2, 8, 4, 9, 8, 4, 1, 2, 5, 2, 3, 2, 8, 3, 3, 8, 7, 4, 6, 5, 8, 9, 7, 7, 3, 5, 3, 5, 5, 9, 5, 3, 0, 2, 7, 2, 5, 6, 8, 8, 2, 0, 8, 2, 5, 8, 1, 5, 5, 4, 3, 7, 6, 7, 7, 9, 7, 7, 6, 4, 8, 2, 2, 8, 3, 9, 0, 0, 2, 0, 4, 4, 8, 9, 0, 4, 1, 6, 8, 8, 0, 3, 4, 5, 8, 4, 6, 9, 7, 6, 1, 6, 7
OFFSET
1,2
EXAMPLE
1.4917797093328498412523283387465897735355953027256882082581554376779776...
MATHEMATICA
RealDigits[ NSolve[x^(x + 2) == x^x + x^2, x, Reals, WorkingPrecision -> 128][[1, 1, 2]], 10][[1]] (* Robert G. Wilson v, Jul 21 2018 *)
PROG
(PARI) solve(x=1, 2, x^(x+2)-x^x-x^2)
CROSSREFS
Cf. A008788 (x^(x+2)).
Sequence in context: A243452 A133868 A295709 * A199788 A197266 A200393
KEYWORD
nonn,cons
AUTHOR
STATUS
approved