A393456 Decimal expansion of the location of the minimum of f(x) = (x-1)^(2/3) / (x^(1/3)*log_2(x)).

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

Offset

2,2

Links

Table of n, a(n) for n=2..89.

Example

13.1402351668955762410090241477264027651982...

Mathematica

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

Prog

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

Crossrefs

See A393458 for references.

Cf. A393455, A393457.

Sequence in context: A123730 A143317 A130540 * A396957 A076816 A021765

Adjacent sequences: A393453 A393454 A393455 * A393457 A393458 A393459

Keyword

nonn,cons

Author

Hugo Pfoertner, Feb 15 2026

Status

approved