A052069 a(n)^2 is the smallest square whose digits occur with the same frequency n.

0, 88, 10011, 31646191, 16431563, 667567716, 10715008859, 652246443112, 15647628653832, 781035313645040

Offset: 1

Author

Patrick De Geest, Jan 15 2000

Keywords

• nonn
• base
• more
• nice

Examples

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

Links

• Patrick De Geest, Numbers whose digits occur with same frequency

Crossrefs

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

Programs

Mathematica

Table[i = 0;
While[x = i^2; Union@DeleteCases[DigitCount[x], 0] != {n}, i++];
i, {n, 10}] (* Robert Price, Oct 12 2019 *)

Extensions

2 more terms from Jon E. Schoenfield, Aug 18 2007

a(10) from Giovanni Resta, Aug 19 2018