A338597 - OEIS

%I #7 Nov 07 2020 14:21:27

%S 7,11,14,13,15,18,17,13,16,19,20,17,14,19,21,18,17,19,16,24,19,21,21,

%T 19,24,16,19,17,18,21,19,14,17,20,19,16,13,17,18,15,19,13,14,19,11,17,

%U 19,20,8,9,21,12,13,14,15,16,19

%N Denominators of resistance values < 1 ohm that can be obtained from a network of exactly 7 one-ohm resistors, but not from any network with fewer than 7 one-ohm resistors. Numerators are in A338580.

%e The list of the 114 = A338197(7) resistance values, sorted by increasing size of R = A338580(n)/a(n) = A338607(n)/A338600(7), is the union of [1/7, 2/11, 3/14, ..., 14/15, 15/16, 18/19] and of the corresponding reciprocal resistances > 1 ohm [19/18, 16/15, 15/14, ..., 14/3, 11/2, 7].

%Y Cf. A338197, A338580, A338600, A338607.

%Y Cf. A338595, A338596, A338598, A338599, A338590 (similar for n = 5..10).

%K nonn,frac,fini,full

%O 1,1

%A _Hugo Pfoertner_, Nov 05 2020