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

1,1

Links

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

Example

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)

Prog

(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

Crossrefs

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

Sequence in context: A329539 A329540 A223414 * A143930 A341264 A287219

Adjacent sequences: A046832 A046833 A046834 * A046836 A046837 A046838

Keyword

nonn,base

Author

David W. Wilson

Status

approved