login
a(n)^2 is the smallest square whose digits occur with the same frequency n.
6

%I #18 Oct 12 2019 20:26:46

%S 0,88,10011,31646191,16431563,667567716,10715008859,652246443112,

%T 15647628653832,781035313645040

%N a(n)^2 is the smallest square 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 31646191^2 = 1001481404808481 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 i, {n, 10}] (* _Robert Price_, Oct 12 2019 *)

%Y Cf. A052070, A045540, A052046, A052049, A052050, A052071.

%K nonn,base,more,nice

%O 1,2

%A _Patrick De Geest_, Jan 15 2000

%E 2 more terms from _Jon E. Schoenfield_, Aug 18 2007

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