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 A348020 #30 Oct 20 2021 20:57:50 %S A348020 1,2,3,3,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5,7,7, %T A348020 7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,5,8,8,8,8, %U A348020 8,8,8,8,8,8,8,8,8,8,8,7,7,8,8,8,8,8,8,8,8,8,8,8 %N A348020 a(n) is the minimum number of unit resistors in a circuit with resistance R = A007305(n)/A007306(n). %C A348020 For small values of n, the circuits are planar and correspond to the tiling of rectangles by squares. See A338573 for more information and examples. %C A348020 The earliest nonplanar deviation occurs at a(3173) corresponding to R = 115/204 needing 11 instead of 12 resistors. %H A348020 Hugo Pfoertner, <a href="/A348020/b348020.txt">Table of n, a(n) for n = 1..4096</a> %Y A348020 First 31 terms coincide with A070941. %Y A348020 Cf. A007305, A007306, A113881, A219158, A338573, A347282. %Y A348020 A338579 can be used for a lookup of the position for a given rational R. %K A348020 nonn %O A348020 1,2 %A A348020 _Hugo Pfoertner_, Oct 14 2021