A393456 - OEIS

%I #10 Apr 19 2026 06:37:42

%S 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,

%T 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,

%U 0,5,2,1,2,5,0,2,3,9,9,5,3,3,7,7,9,0,8,7

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

%e 13.1402351668955762410090241477264027651982...

%t 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 *)

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

%Y See A393458 for references.

%Y Cf. A393455, A393457.

%K nonn,cons

%O 2,2

%A _Hugo Pfoertner_, Feb 15 2026