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A338599 Denominators of resistance values < 1 ohm that can be obtained from a network of exactly 9 one-ohm resistors, but not from any network with fewer than 9 one-ohm resistors. Numerators are in A338580.

%I A338599 #13 Dec 22 2024 03:16:40
%S A338599 9,15,20,19,23,28,27,21,26,31,34,29,24,33,37,32,31,35,30,46,37,41,43,
%T A338599 39,50,34,41,37,40,47,43,32,39,46,45,38,31,41,44,37,47,33,36,49,29,45,
%U A338599 51,54,22,25,59,34,37,40,43,46,55,56,47,44,41,38,35,61,26,23
%N A338599 Denominators of resistance values < 1 ohm that can be obtained from a network of exactly 9 one-ohm resistors, but not from any network with fewer than 9 one-ohm resistors. Numerators are in A338580.
%H A338599 Hugo Pfoertner, <a href="/A338599/b338599.txt">Table of n, a(n) for n = 1..447</a>
%e A338599 The list of the 894 = A338197(9) resistance values, sorted by increasing size of R = A338580(n)/a(n) = A338609(n)/A338600(9), is the union of [1/9, 2/15, 3/20, ..., 48/49, 50/51, 55/56] and of the corresponding reciprocal resistances > 1 ohm [56/55, 51/50, 49/48, ..., 20/3, 15/2, 9].
%Y A338599 Cf. A338197, A338580, A338600, A338609.
%Y A338599 Cf. A338595, A338596, A338597, A338598, A338590 (similar for n = 5..10).
%K A338599 nonn,frac,fini,full
%O A338599 1,1
%A A338599 _Hugo Pfoertner_, Nov 06 2020