A046835 Internal digits of n^2 include digits of n as subsequence, n does not end in 0.

3628, 3792, 8882, 14651, 28792, 36574, 37026, 37028, 37073, 58808, 68323, 71213, 75884, 75887, 75888, 87073, 88526, 88796, 88808, 94682, 105125, 105153, 146308, 161574, 269622, 368323, 369255, 369482, 369863, 370137, 370156, 370162, 370178

Offset: 1

Author

David W. Wilson

Keywords

• nonn
• base

Examples

			From _David A. Corneth_, Aug 29 2023: (Start)
3628 is in the sequence as 3628^2 = 13162384 and so 3628 is in the internal digits; 1(3)1(6)(2)3(8)4, reading from left to right the digits in brackets are 3628 and all these digits are internal digits of 13162384.
1011 is NOT in the seuence as 1011^2 = 1022121 and so 1011 is in the digits;
(1)(0)22(1)2(1) but not all these digits are internal digits of 1022121. (End)
		

Links

• David A. Corneth, Table of n, a(n) for n = 1..3742

Crossrefs

Cf. A046827, A046828, A046829, A046830, A046831, A046832, A046833, A046834, A046835, A046836, A046837, A046838.

Programs

Python

from itertools import count, islice
def A046835_gen(startvalue=1): # generator of terms >= startvalue
    for k in count(max(startvalue,1)):
        if k%10:
            c = iter(str(k**2)[1:-1])
            if all(map(lambda b:any(map(lambda a:a==b,c)),str(k))):
                yield k
A046835_list = list(islice(A046835_gen(),20)) # Chai Wah Wu, Apr 03 2023