A105240 - OEIS

%I #4 Mar 12 2014 16:36:47

%S 0,1,1,1,1,1,1,2,1,1,1,2,1,1,1,2,2,2,2,4,1,1,1,2,2,2,2,4,1,1,1,2,2,2,

%T 2,4,2,2,2,4,4,4,4,8,1,1,1,2,2,2,2,4,2,2,2,4,4,4,4,8,1,1,1,2,2,2,2,4,

%U 2,2,2,4,4,4,4,8,2,2,2,4,4,4,4,8,4,4,4,8,8,8,8,16,1,1,1,2,2,2,2,4,2,2,2,4,4

%N Tensor Markov 2 X 2 X 2 times matrix 2 X 2 in a generalized Fibonacci type form: symmetrical form.

%C The symmetry of the two component matrices in the tensor gives powers of two in the result.

%F v[m]=M.v[m-1] M={M1, M2} v[1]=M1=M2={{0, 1}, {1, 1}}: Fibonacci matrix a(n) = Flatten[v[m]

%t v[1] = {{0, 1}, {1, 1}} M = {{{0, 1}, {11}}, {{0, 1}, {1, 1}}} v[n_] := v[n] = M.v[n - 1] a = Table[v[n], {n, 1, 6}] aa = Flatten[a] Length[aa]

%K nonn,uned,obsc

%O 1,8

%A _Roger L. Bagula_, Apr 12 2005