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Decimal expansion of 7^(1/sqrt(7)).
3

%I #12 Aug 17 2024 18:51:42

%S 2,0,8,6,4,9,3,4,9,6,3,0,9,3,6,4,4,2,3,1,9,1,0,1,2,0,7,8,3,3,1,8,7,4,

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

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

%N Decimal expansion of 7^(1/sqrt(7)).

%C The largest k^(1/sqrt(k)), for any natural number k, which occurs for k = 7 = A000227(2).

%H Stanislav Sykora, <a href="/A243443/b243443.txt">Table of n, a(n) for n = 1..2000</a>

%e 2.086493496309364423191012078331874644759917871182477044311483403077176...

%t RealDigits[7^(1/Sqrt[7]),10,120][[1]] (* _Harvey P. Dale_, Aug 17 2024 *)

%o (PARI) default(realprecision, 20080); 7.0^(1.0/sqrt(7.0));

%Y Cf. A002581, A243406 (k=8), A243444 (k=6).

%K nonn,cons,easy

%O 1,1

%A _Stanislav Sykora_, Jun 05 2014