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.
%I A353244 #9 Apr 09 2022 01:28:52
%S A353244 1,2,5,12,13,50,61,68,198,1090,1812,2362,32334,1517757,4150055,
%T A353244 8850618,10459960,34693154,80385407,277184250,316848842,426258508,
%U A353244 2150821469,2901738400,49091889811,331178405563
%N A353244 Record values of A070266.
%C A353244 The corresponding indices are in A353243.
%F A353244 a(n) = A070266(A353243(n)).
%t A353244 Union @ FoldList[Max, Table[Max[ContinuedFraction[HarmonicNumber[n]]], {n, 1, 10^4}]]
%o A353244 (Python)
%o A353244 from itertools import count, islice
%o A353244 from fractions import Fraction
%o A353244 from sympy.ntheory.continued_fraction import continued_fraction
%o A353244 def A353244_gen(): # generator of terms
%o A353244 k, c = Fraction(), 0
%o A353244 for n in count(1):
%o A353244 k += Fraction(1,n)
%o A353244 if c < (m := max(continued_fraction(k))):
%o A353244 yield (c := m)
%o A353244 A353244_list = list(islice(A353244_gen(),10)) # _Chai Wah Wu_, Apr 08 2022
%Y A353244 Cf. A001008, A002805, A070266, A091532, A353243.
%K A353244 nonn,more
%O A353244 1,2
%A A353244 _Amiram Eldar_, Apr 08 2022