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 A352072 #10 Mar 16 2022 19:59:51
%S A352072 0,1,1,1,1,2,2,1,2,2,2,3,3,2,2,3,3,2,4,3,3,4,2,4,3,3,5,4,3,4,4,3,5,5,
%T A352072 3,4,6,4,3,5,5,4,4,6,5,3,5,6,7,4,4,6,5,4,5,6,7,5,4,6,6,8,4,5,7,7,5,4,
%U A352072 6,6,8,5,5,7,7,6,9,4,6,7,8,5,5,8,7,6,9
%N A352072 a(n) = least k such that A003586(n) | 12^k.
%C A352072 Also, number of digits in the duodecimal expansion of terminating unit fractions 1/A003586.
%D A352072 G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Chapter IX: The Representation of Numbers by Decimals, Theorem 136. 8th ed., Oxford Univ. Press, 2008, 144-145.
%H A352072 Michael De Vlieger, <a href="/A352072/b352072.txt">Table of n, a(n) for n = 1..10283</a> (A003586(10283) = 12^50)
%H A352072 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Duodecimal.html">Duodecimal</a>.
%H A352072 Wikipedia, <a href="https://en.wikipedia.org/wiki/Duodecimal">Duodecimal</a>.
%e A352072 a(1) = 0 since A003586(1) = 1 | 12^0.
%e A352072 a(2) = 1 since A003586(2) = 2 | 12^1; 1/2 expanded in base 12 = .6.
%e A352072 a(6) = 2 since A003586(6) = 8 | 12^2; 1/8 in base 12 = .16.
%e A352072 a(12) = 3 since A003586(12) = 27 | 12^3; 1/27 in base 12 = .054, etc.
%t A352072 With[{nn = 40000}, Sort[Join @@ Table[{2^a*3^b, Max[Ceiling[a/2], b]}, {a, 0, Log2[nn]}, {b, 0, Log[3, nn/(2^a)]}] ][[All, -1]] ]
%Y A352072 Cf. A003586, A086415, A117920.
%K A352072 nonn,easy,base
%O A352072 1,6
%A A352072 _Michael De Vlieger_, Mar 08 2022