A305274 Decimal expansion of x such that x^(x+3) = x^x + x^3.
1, 3, 9, 3, 0, 9, 1, 5, 4, 5, 3, 8, 5, 7, 1, 0, 5, 9, 2, 2, 2, 6, 1, 4, 0, 7, 8, 3, 2, 9, 4, 4, 6, 1, 9, 4, 0, 9, 8, 1, 1, 6, 1, 3, 1, 7, 8, 4, 5, 3, 5, 6, 9, 6, 0, 8, 0, 2, 9, 2, 4, 8, 0, 9, 7, 6, 4, 2, 7, 6, 9, 9, 0, 2, 8, 4, 6, 5, 3, 0, 5, 9, 3, 1, 2, 2, 9, 9, 6, 7, 9, 9, 4, 1, 3, 7, 9, 2, 2, 9
Offset: 1
Examples
1.393091545385710592226140783294461940981161317845356960802924...
Programs
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Mathematica
RealDigits[x /. FindRoot[x^(x + 3) == x^x + x^3, {x, 3/2}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, Jun 18 2023 *) -
PARI
solve(x=1,2,x^(x+3)-x^x-x^3)