|
%I #27 Aug 23 2021 22:12:09
%S 1,2,8,44,298,2350,22774,252079,3154451
%N Number of distinct resistances possible for n resistors with resistances 1, 2, ..., n, each connected in series or parallel to the previous one.
%C For n = 4, there would be an additional 4 possible values if circuits were allowed that combine complex subcircuits in series or parallel, rather than requiring that one of them consists of a single resistor. See illustration in links. - _Kival Ngaokrajang_, Aug 22 2013 (rephrased by _Dave R.M. Langers_, Nov 13 2013)
%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a051/A051045.java">Java program</a> (github)
%H Kival Ngaokrajang, <a href="/A051045/a051045.pdf">Illustration for n = 4</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ResistorNetwork.html">Resistor Network.</a>
%H <a href="/index/Res#resistances">Index to sequences related to resistances</a>.
%Y Cf. A005840.
%K nonn,more
%O 1,2
%A _Eric W. Weisstein_
%E Offset corrected and a(8)-a(9) from _Sean A. Irvine_, Aug 23 2021
| 