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 A347282 #15 Jun 06 2024 06:12:24 %S A347282 18,19,20,18,26,19,17,19 %N A347282 a(n) is the least number of unit resistors in an electrical network with total resistance A007305(n)/A007306(n) such that all currents through the resistors are distinct and > 0. %C A347282 The trivial case of a single resistor is excluded, thus making a(1) = A342558(18) = 18. %H A347282 Hugo Pfoertner, <a href="/A347282/a347282.txt">Examples of networks corresponding to a(1)-a(8)</a>, October 2021. %H A347282 <a href="/index/Res#resistances">Index to sequences related to resistances</a>. %e A347282 n A007305(n)/ a(n) Edge list of network graph (example) %e A347282 A007306(n) %e A347282 1 1/1 18 [[1, 5], [1, 6], [1, 7], [2, 5], [2, 7], [2, 8], %e A347282 [3, 6], [3, 7], [3, 8], [3, 9], [10, 6], [4, 8], %e A347282 [4, 9], [5, 8], [5, 9], [6, 9], [7, 9], [10, 4]] %e A347282 Poles: [5, 10] %e A347282 2 1/2 19 see linked file for description of solutions %e A347282 3 1/3 20 %e A347282 4 2/3 18 %e A347282 5 1/4 26 %e A347282 6 2/5 19 %e A347282 7 3/5 17 %e A347282 8 3/4 19 %e A347282 9 1/5 unknown %Y A347282 Cf. A007305, A007306, A342558, A348020. %K A347282 nonn,hard,more %O A347282 1,1 %A A347282 _Hugo Pfoertner_, Oct 12 2021