Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #4 Mar 12 2014 16:36:58
%S 0,1,3,4,12,16,9,27,36,108,16,48,64,192,256,25,75,100,300,400,1200,36,
%T 108,144,432,576,1728,2304,49,147,196,588,784,2352,3136,9408,64,192,
%U 256,768,1024,3072,4096,12288,16384,81,243,324,972,1296,3888,5184,15552
%N Process number as a vertex through put triangular product function: m (In)-> {n-states}->m (Out) T(n,m)=m^2*g(n): g(n)=A084221[n].
%C 0 1, 3 4, 12, 16 9, 27, 36, 108 16, 48, 64, 192, 256 25, 75, 100, 300, 400, 1200
%F T(n,m)=m^2*g(n): g(n)=A084221[n]
%t g[n_] := If[Mod[n, 2] == 0, 2^(n), 2^n + 2^(n - 1)]; t[n_, m_] := m^2*g[n]; a = Table[Table[t[n, m], {n, 0, m}], {m, 0, 10}]; Flatten[a]
%Y Cf. A084221.
%K nonn,uned
%O 1,3
%A _Roger L. Bagula_, Sep 21 2006