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A338590 Denominators of resistance values that can be obtained from a network of exactly 10 one-ohm resistors, but not from any network with fewer than 10 one-ohm resistors. Numerators are in A338580.

%I A338590 #18 Feb 14 2021 13:02:39
%S A338590 10,17,23,22,27,33,32,25,31,37,41,35,29,40,45,39,38,43,37,57,46,51,54,
%T A338590 49,63,43,52,47,51,60,55,41,50,59,58,49,40,53,57,48,61,43,47,64,38,59,
%U A338590 67,71,29,33,78,45,49,53,57,61,73,75,63,59,55,51,47,82,35,31
%N A338590 Denominators of resistance values that can be obtained from a network of exactly 10 one-ohm resistors, but not from any network with fewer than 10 one-ohm resistors. Numerators are in A338580.
%H A338590 Hugo Pfoertner, <a href="/A338590/b338590.txt">Table of n, a(n) for n = 1..2639</a>
%e A338590 The list of the 2639 = A338197(10) resistance values, sorted by increasing size of R = A338580(n)/a(n), is [1/10, 2/17, 3/23, 3/22, 4/27, 5/33, 5/32, ..., 32/5, 33/5, 27/4, 22/3, 23/3, 17/2, 10]. There are 15 terms for which their reciprocal value is not in the sequence, given in A338601/A338602.
%Y A338590 Cf. A180414, A338197, A338573, A338580, A338600, A338601, A338602.
%Y A338590 Cf. A338595, A338596, A338597, A338599, A338599 (similar for n = 5..10).
%K A338590 nonn,frac,fini,full,look
%O A338590 1,1
%A A338590 _Hugo Pfoertner_, Nov 06 2020
%E A338590 Title corrected by _Rainer Rosenthal_, Feb 14 2021