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

1,1

Comments

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

Links

Table of n, a(n) for n=1..29.

Patrick De Geest, Numbers whose digits occur with same frequency

Mathematica

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

Prog

(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

Crossrefs

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

Sequence in context: A094400 A116282 A187958 * A116064 A052070 A052099

Adjacent sequences: A052047 A052048 A052049 * A052051 A052052 A052053

Keyword

nonn,base,fini

Author

Patrick De Geest, Dec 15 1999

Status

approved