A338609 - OEIS

A338609

Resistance values R < 1 ohm, multiplied by a common denominator 591133442051411133755680800 (= A338600(9)), 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.

%I #8 Nov 08 2020 04:33:38

%S 65681493561267903750631200,78817792273521484500757440,

%T 88670016307711670063352120,93336859271275442171949600,

%U 102805816008941066740118400,105559543223466273884943000,109469155935446506251052000,112596846105030692143939200,113679508086809833414554000

%N Resistance values R < 1 ohm, multiplied by a common denominator 591133442051411133755680800 (= A338600(9)), 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.

%H Hugo Pfoertner, <a href="/A338609/b338609.txt">Table of n, a(n) for n = 1..447</a>

%e The list of the A338197(9)/2 = 447 resistance values < 1 ohm is A338580(n)/A338599(n). a(n) = 591133442051411133755680800 * [1/9, 2/15, 3/20, 3/19, 4/23, 5/28, ..., 43/44, 45/46, 46/47, 48/49, 50/51, 55/56].

%Y Cf. A180414, A338197, A338580, A338599, A338600.

%Y Cf. A338605, A338606, A338607, A338608 (similar for n = 5..8).

%K nonn,fini,full

%O 1,1

%A _Hugo Pfoertner_, Nov 06 2020