A052212 Numbers k whose square contains the digits of k in order (but not necessarily consecutively).

1, 5, 6, 10, 11, 25, 50, 60, 76, 95, 96, 100, 101, 105, 110, 125, 205, 250, 305, 371, 376, 405, 441, 500, 501, 505, 506, 525, 600, 601, 605, 625, 676, 705, 756, 760, 805, 825, 826, 905, 946, 950, 960, 976, 995, 996, 1000, 1001, 1005, 1006, 1010, 1011, 1021

Offset

1,2

Comments

Subsequence of A046829. - R. J. Mathar, Oct 13 2008

Links

Table of n, a(n) for n=1..53.

Example

1276^2 = 1628176, which contains the digits 1,2,7,6 in that order.

Prog

(Python)
from itertools import count, islice
def A052212_gen(startvalue=1): # generator of terms >= startvalue
    for k in count(max(startvalue, 1)):
        c = iter(str(k**2))
        if all(map(lambda b:any(map(lambda a:a==b, c)), str(k))):
            yield k
A052212_list = list(islice(A052212_gen(), 20)) # Chai Wah Wu, Apr 03 2023

Crossrefs

Sequence in context: A029780 A074913 A046829 * A046838 A326418 A037359

Adjacent sequences: A052209 A052210 A052211 * A052213 A052214 A052215

Keyword

base,easy,nonn

Author

Erich Friedman, Jan 29 2000

Extensions

Definition clarified by N. J. A. Sloane, Apr 04 2023

Status

approved