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A248616 Least number k such that k^k in base n contains all n possible digits. 0

%I #10 Jul 29 2018 13:41:12

%S 1,2,5,6,11,9,9,13,16,19,16,27,19,29,33,35,36,41,36,38,41,34,40,55,56,

%T 62,73,65,67,62,70,77,77,74,76,95,92,103,97,91,89,108,96,93,104,118,

%U 117,105,125,126,132,112,137,145,132,144,147,126,138,168,141,122,165,185,166,170,187,186

%N Least number k such that k^k in base n contains all n possible digits.

%C a(n) is the right diagonal of the triangular array in A239306. Equivalently, a(n) = T(n,n) in A239306.

%t Join[{1},Table[Module[{k=1},While[Union[IntegerDigits[k^k,n]]!=Range[0, n-1],k++];k],{n,2,70}]] (* _Harvey P. Dale_, Jul 29 2018 *)

%o (PARI)

%o a(n,b)=k=1;while(#vecsort(digits(k^k,b),,8)!=n,if(#digits(k^k)>10^(n\2),return(0));k++);k

%o print1(1,", ");b=2;while(b<1000,print1(a(b,b),", ");b++)

%Y Cf. A239306.

%K nonn,base

%O 1,2

%A _Derek Orr_, Oct 09 2014

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