A052070 Smallest square all of whose digits occur with the same frequency n.

0, 7744, 100220121, 1001481404808481, 269996262622969, 445646655445456656, 114811414848448481881, 425425422552255452244544, 244848282488224248488284224, 610016161160606006011116601600

Offset: 1

Author

Patrick De Geest, Jan 15 2000

Keywords

• nonn
• base
• more
• nice

Examples

			1001481404808481 (= 31646191^2) 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. A052069, A045540, A052046, A052049, A052050, A052072.

Programs

Mathematica

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

Extensions

Two more terms from Jon E. Schoenfield, Oct 11 2008

Offset corrected by Michel Marcus, Aug 12 2015

a(10) from Giovanni Resta, Aug 19 2018