A353080 Numbers whose squares have the first three digits the same as the next three digits.

1429, 1537, 1692, 1823, 2001, 2312, 2467, 2729, 2858, 3148, 3242, 3635, 3849, 4002, 4541, 4552, 5851, 6003, 6216, 6296, 6375, 7145, 7152, 7159, 7698, 8004, 9093, 9104, 9235, 9444, 10005, 10154, 12006, 12335, 13645, 14007, 14290, 14325, 15272, 15370, 16008, 16531

Offset

1,1

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Example

1429^2 = 2042041 and 1537^2 = 2362369. Thus, 1429 and 1537 are both in this sequence.

Maple

q:= n-> (s-> is(s[1..3]=s[4..6]))(""||(n^2)):
select(q, [$317..17000])[];  # Alois P. Heinz, Apr 22 2022

Mathematica

Select[Range[317, 20000], Take[IntegerDigits[#^2], {1, 3}] == Take[IntegerDigits[#^2], {4, 6}] &]

Prog

(Python)
def ok(n): s = str(n**2); return len(s) > 5 and s[:3] == s[3:6]
print([k for k in range(20000) if ok(k)]) # Michael S. Branicky, Apr 22 2022

Crossrefs

Cf. A123912, A353081.

Sequence in context: A292704 A321036 A094230 * A238136 A060364 A243834

Adjacent sequences: A353077 A353078 A353079 * A353081 A353082 A353083

Keyword

nonn,base

Author

Tanya Khovanova, Apr 22 2022

Status

approved