A370486 Terms in A116260 that are not of the form 10^d-1.

36363636362, 45454545453, 54545454544, 63636363635, 72727272726, 81818181817, 90909090908, 428571428571428571427, 571428571428571428570, 714285714285714285713, 857142857142857142856, 363636363636363636363636363636362, 454545454545454545454545454545453

Offset: 1

Author

Chai Wah Wu, Feb 19 2024

Keywords

• nonn
• base

Comments

Since 10^d-1 for d>0 are terms of A116260, this sequence only includes terms of A116260 not of this form to highlight these nontrivial terms.

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..44

Crossrefs

Cf. A116260.

Programs

Python

from itertools import count, islice
from sympy import sqrt_mod
def A370486_gen(): # generator of terms
    for j in count(0):
        b = 10**j
        a = b*10+1
        for k in sorted(sqrt_mod(0,a,all_roots=True)):
            if a*(b+4) <= k**2 < a*(a+3):
                yield k-2
A370486_list = list(islice(A370486_gen(),20))