This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
4962//4960 = 7040 * 7049, where // denotes concatenation.
76303 * 76311 = 58227//58233, where // denotes concatenation, so 76303 is a term.
from itertools import count, islice from sympy import sqrt_mod def A116333_gen(): # generator of terms for j in count(0): b = 10**j a = b*10+1 for k in sorted(sqrt_mod(22,a,all_roots=True)): if a*(b-6) <= k**2-22 < a*(a-7) and k>4: yield k-4 A116333_list = list(islice(A116333_gen(),10)) # Chai Wah Wu, Feb 21 2024
41634068//41634073 = 64524463 * 64524471, where // denotes concatenation.
from itertools import count, islice from sympy import sqrt_mod def A116196_gen(): # generator of terms for j in count(0): b = 10**j a = b*10+1 for k in sorted(sqrt_mod(21,a,all_roots=True)): if a*(b-5) <= k**2-21 < a*(a-6) and k>4: yield (k**2-21)//a A116196_list = list(islice(A116196_gen(),10)) # Chai Wah Wu, Feb 21 2024
938//945 = 965 * 973, where // denotes concatenation.
from itertools import count, islice from sympy import sqrt_mod def A116210_gen(): # generator of terms for j in count(0): b = 10**j a = b*10+1 for k in sorted(sqrt_mod(23,a,all_roots=True)): if a*(b-7) <= k**2-23 < a*(a-8) and k>4: yield (k**2-23)//a A116210_list = list(islice(A116210_gen(),10)) # Chai Wah Wu, Feb 22 2024
4646//4652 = 6812 * 6821, where // denotes concatenation.
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