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 A371672 #20 Jun 19 2024 02:03:58
%S A371672 0,1,2,2,3,3,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,
%T A371672 7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
%U A371672 8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9
%N A371672 a(n) = floor(log_phi(n)) with phi = A001622.
%H A371672 Aleksandar Petojević, Marjana Gorjanac Ranitović, Dragan Rastovac, and Milinko Mandić, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL27/Petojevic/peto5.html">The Golden Ratio, Factorials, and the Lambert W Function</a>, Journal of Integer Sequences, Vol. 27 (2024), Article 24.5.7. See p. 4.
%t A371672 Table[IntegerPart[Log[n]/Log[GoldenRatio]],{n,1,130}]
%Y A371672 Cf. A000195, A000523, A001622, A004216, A362692.
%K A371672 nonn
%O A371672 1,3
%A A371672 _Aleksandar V. Petojevic_, Apr 02 2024