%I A065248
%S A065248 0,4,3511808,16417340254783504656,
%T A065248 1461340738496783113671688672284985566897802138624,
%U A065248 3940200619620187981589093886506105584397793947159777
%N A065248 Networks with n components.
%C A065248 Number of special {0,1}^n to {0,1}^n vector-vector maps of which all 
               components are non-neurons, i.e. none is a linearly separable switching 
               function.
%D A065248 Labos E. (1996): Long Cycles and Special Categories of Formal Neuronal 
               Networks. Acta Biologica Hungarica, 47: 261-272.
%D A065248 Labos E. and Sette M.(1995): Long Cycle Generation by McCulloch-Pitts 
               Networks(MCP-Nets) with Dense and Sparse Weight Matrices. Proc. of 
               BPTM, McCulloch Memorial Conference [eds:Moreno-Diaz R. and Mira-Mira 
               J., pp. 350-359.], MIT Press, Cambridge,MA,USA.
%D A065248 McCulloch WS and Pitts W (1943): A Logical Calculus Immanent in Nervous 
               Activity. Bull.Math.Biophys. 5:115-133.
%F A065248 a(n)=A064436(n)^n
%e A065248 For n=2 XOR and its negation are non-neurons, providing 4 networks, all 
               of which permutations are distinguished from each other. For n=3, 
               152=A064436(3) switching functions are non-neurons, so 152^3=3511808 
               networks are constructible without formal neurons as component-functions.
%Y A065248 Cf. A000609, A065246, A065247, A064436.
%Y A065248 Sequence in context: A046362 A144122 A058424 this_sequence A116141 A067508 
               A034250
%Y A065248 Adjacent sequences: A065245 A065246 A065247 this_sequence A065249 A065250 
               A065251
%K A065248 nonn
%O A065248 1,2
%A A065248 Labos E. (labos(AT)ana.sote.hu), Oct 26 2001