A316295 Decimal expansion of x such that x^(x+2) = x^x + x^2.

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

Links

Table of n, a(n) for n=1..105.

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

Adjacent sequences: A316292 A316293 A316294 * A316296 A316297 A316298

Keyword

nonn,cons

Author

Patrick C. Schneider, Jun 29 2018

Status

approved