A338596 - OEIS

%I #7 Nov 07 2020 22:08:08

%S 6,9,11,10,11,13,12,9,11,13,13,11,9,12,13,11,10,11,9,13,10,11

%N Denominators of resistance values < 1 ohm that can be obtained from a network of exactly 6 one-ohm resistors, but not from any network with fewer than 6 one-ohm resistors. Numerators are in A338580.

%e The list of the 44 = A338197(6) resistance values, sorted by increasing size of R = A338580(n)/a(n) = A338606(n)/A338600(6), is the union of [1/6, 2/9, 3/11, ..., 11/13, 9/10, 10/11] and of the corresponding reciprocal resistances > 1 ohm [11/10, 10/9, 13/11, ..., 11/3, 9/2, 6].

%Y Cf. A338197, A338580, A338600, A338606.

%Y Cf. A338595, A338597, A338598, A338599, A338590 (similar for n = 5..10)

%K nonn,frac,fini,full

%O 1,1

%A _Hugo Pfoertner_, Nov 05 2020