A052050 Squares whose digits occur with an equal minimal frequency of 2.

7744, 228484, 332929, 339889, 511225, 698896, 774400, 776161, 797449, 11303044, 11464996, 15295921, 16621929, 22848400, 25775929, 27447121, 28826161, 33292900, 33454656, 33512521, 33988900, 34316164, 42549529, 45643536, 45859984, 47969476, 48177481, 50509449, 51122500

Offset: 1

Author

Patrick De Geest, Dec 15 1999

Keywords

• nonn
• base
• fini

Comments

There are A225428(10)=597959 terms in this sequence. The last term is 99887301530267526144 = 9994363488^2. - Hugo Pfoertner, May 12 2023

Links

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

Crossrefs

Cf. A052049, A045540, A052046, A052047, A052048, A052051, A052052, A225428.

Programs

Mathematica

Select[Table[n^2, {n, 6760}], Union[Last[Transpose[Tally[IntegerDigits[#]]]]] == {2} &] (* Jayanta Basu, Jun 17 2013 *)

Python

from itertools import islice
from collections import Counter
def afull(): yield from (x**2 for x in range(10**10) if set(Counter(str(x**2)).values()) == {2})
print(list(islice(afull(), 47))) # Michael S. Branicky, May 12 2023