cp's OEIS Frontend

A338598 Denominators of resistance values < 1 ohm that can be obtained from a network of exactly 8 one-ohm resistors, but not from any network with fewer than 8 one-ohm resistors. Numerators are in A338580.

%I A338598 #9 Nov 08 2020 04:33:48
%S A338598 8,13,17,16,19,23,22,17,21,25,27,23,19,26,29,25,24,27,23,35,28,31,32,
%T A338598 29,37,25,30,27,29,34,31,23,28,33,32,27,22,29,31,26,33,23,25,34,20,31,
%U A338598 35,37,15,17,40,23,25,27,29,31,37,37,31,29,27,25,23,40,17,15
%N A338598 Denominators of resistance values < 1 ohm that can be obtained from a network of exactly 8 one-ohm resistors, but not from any network with fewer than 8 one-ohm resistors. Numerators are in A338580.
%H A338598 Hugo Pfoertner, <a href="/A338598/b338598.txt">Table of n, a(n) for n = 1..156</a>
%e A338598 The list of the 312 = A338197(8) resistance values, sorted by increasing size of R = A338580(n)/a(n) = A338608(n)/A338600(8), is the union of [1/8, 2/13, 3/17, ..., 27/28, 30/31, 34/35] and of the corresponding reciprocal resistances > 1 ohm [35/34, 31/30, 28/27, ..., 17/3, 13/2, 8].
%Y A338598 Cf. A338197, A338573, A338580, A338600, A338608.
%Y A338598 Cf. A338595, A338596, A338597, A338599, A338590 (similar for n = 5..10).
%K A338598 nonn,frac,fini,full
%O A338598 1,1
%A A338598 _Hugo Pfoertner_, Nov 06 2020