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Smallest square all of whose digits occur with the same frequency n.
5

%I #22 Oct 14 2019 22:26:32

%S 0,7744,100220121,1001481404808481,269996262622969,445646655445456656,

%T 114811414848448481881,425425422552255452244544,

%U 244848282488224248488284224,610016161160606006011116601600

%N Smallest square all of whose digits occur with the same frequency n.

%H Patrick De Geest, <a href="http://www.worldofnumbers.com/samedigits.htm">Numbers whose digits occur with same frequency</a>

%e 1001481404808481 (= 31646191^2) and its digits 0, 1, 4 and 8 each occur four times.

%t Table[i = 0;

%t While[x = i^2; Union@DeleteCases[DigitCount[x], 0] != {n}, i++];

%t x, {n, 10}] (* _Robert Price_, Oct 12 2019 *)

%Y Cf. A052069, A045540, A052046, A052049, A052050, A052072.

%K nonn,base,more,nice

%O 1,2

%A _Patrick De Geest_, Jan 15 2000

%E Two more terms from _Jon E. Schoenfield_, Oct 11 2008

%E Offset corrected by _Michel Marcus_, Aug 12 2015

%E a(10) from _Giovanni Resta_, Aug 19 2018