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

1,2

Links

Table of n, a(n) for n=1..10.

Patrick De Geest, Numbers whose digits occur with same frequency

Example

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

Mathematica

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

Crossrefs

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

Sequence in context: A188762 A188991 A189201 * A346926 A174499 A048919

Adjacent sequences: A052066 A052067 A052068 * A052070 A052071 A052072

Keyword

nonn,base,more,nice

Author

Patrick De Geest, Jan 15 2000

Extensions

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

a(10) from Giovanni Resta, Aug 19 2018

Status

approved