%I M3054 N1238 #35 Sep 08 2022 08:44:28
%S 3,18,1200,33601536,72057597192044544,
%T 664613997892457950142846397346480128,
%U 113078212145816597093331040047546785266841516594958545044409945396273479680
%N Number of n-input 2-output switching networks under action of complementing group C(2,n) on inputs and S(2) and C(2,2) on outputs.
%D M. A. Harrison, On the number of classes of switching networks, J. Franklin Instit., 276 (1963), 313-327.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Vincenzo Librandi, <a href="/A000853/b000853.txt">Table of n, a(n) for n = 1..10</a>
%H <a href="/index/Sw#switching">Index entries for sequences related to switching networks</a>
%F a(n) = (4^(2^n)+6*(2^n-1)*4^(2^(n-1))+2^(2^n+1))/2^(n+3). - _Sean A. Irvine_, Aug 11 2011
%p A000853:=n->(4^(2^n)+6*(2^n-1)*4^(2^(n-1))+2^(2^n+1))/2^(n+3): seq(A000853(n), n=1..8); # _Wesley Ivan Hurt_, May 03 2017
%o (Magma) [(4^(2^n)+6*(2^n-1)*4^(2^(n-1))+2^(2^n+1))/2^(n+3): n in [1..12]]; // _Vincenzo Librandi_, Aug 11 2011
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_
%E More terms from _Sean A. Irvine_, Aug 10 2011