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

1,2

Links

Table of n, a(n) for n=1..100.

Example

1.393091545385710592226140783294461940981161317845356960802924...

Mathematica

RealDigits[x /. FindRoot[x^(x + 3) == x^x + x^3, {x, 3/2}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, Jun 18 2023 *)

Prog

(PARI) solve(x=1, 2, x^(x+3)-x^x-x^3)

Crossrefs

Cf. A008789 (n^(n+3)), A316295 (similar, with 2 instead of 3).

Sequence in context: A257733 A098323 A225460 * A293382 A336501 A016674

Adjacent sequences: A305271 A305272 A305273 * A305275 A305276 A305277

Keyword

nonn,cons

Author

Patrick C. Schneider, Aug 18 2018

Status

approved