A393457 Decimal expansion of f(x) = (x-1)^(2/3) / (x^(1/3)*log_2(x)) at its minimum x=A393456.

6, 0, 2, 3, 9, 8, 7, 9, 2, 8, 0, 9, 5, 6, 7, 0, 8, 4, 5, 3, 6, 1, 2, 5, 3, 1, 0, 1, 0, 4, 3, 9, 6, 2, 8, 1, 3, 8, 1, 4, 5, 0, 9, 9, 1, 9, 2, 2, 6, 5, 5, 8, 5, 6, 1, 8, 6, 5, 4, 5, 6, 8, 0, 9, 1, 6, 4, 0, 9, 1, 0, 2, 6, 7, 9, 8, 8, 7, 3, 7, 4, 6, 3, 5, 7, 2, 5, 7, 8, 2, 1

Offset

0,1

Links

Table of n, a(n) for n=0..90.

Example

0.60239879280956708453612531010439628138145...

Mathematica

f[x_] := (x-1)^(2/3)/(x^(1/3)*Log2[x]); RealDigits[f[x /. FindRoot[f'[x] == 0, {x, 13}, WorkingPrecision -> 120]]][[1]] (* Amiram Eldar, Apr 19 2026 *)

Prog

(PARI) {my(f(x)=(x-1)^(2/3)/(x^(1/3)*log(x)/log(2))); f(solve(x=13, 14, f'(x)))}

Crossrefs

See A393458 for references.

Cf. A393455, A393456.

Sequence in context: A351234 A327837 A261166 * A021170 A329093 A195406

Adjacent sequences: A393454 A393455 A393456 * A393458 A393459 A393460

Keyword

nonn,cons

Author

Hugo Pfoertner, Feb 15 2026

Status

approved