Search: id:A103648
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%I A103648
%S A103648 0,1,1,2,1,1,2,4,1,2,4,5,2,4,5,9,4,5,9,14,5,9,14,20,9,14,20,33,14,20,33,
%T A103648 49,20,33,49,74,33,49,74,116,49,74,116,173,74,116,173,265,116,173,265,
%U A103648 406,173,265,406,612,265,406,612,937,406,612,937,1425,612,937,1425,2162
%N A103648 A Fibonacci isomer vector Markov: matrix characteristic polynomial the 
               same as and Veerman modified sequence but with different results.
%C A103648 Isomer matrix is: M0 = {{1, 0, 0, 0}, {1, 0, 0, 1}, {0, 2, 0, 0}, {0, 
               1, 1, 0}} NSolve[Det[M0 - x*IdentityMatrix[4]] == 0, x] Characteristic 
               polynomial for both is x^4-x^3-x^2-x-2=0.
%D A103648 Hausdorff Dimension of Boundaries of Self - Affine Tiles in R^n J. J. 
               P. Veerman, Bol. Soc. Mex. Mat. 3, Vol. 4, No 2, 1998, 159 - 182
%F A103648 M = {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {a0, b, c, d}} {a0, b, 
               c, d} = {-2, 1, 1, 1} v[n_] := v[n] = M.v[n - 1] {a(n), a(n+1), a(n+2), 
               a(n+3)} = v[m]
%t A103648 M = {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {a0, b, c, d}} {a0, b, 
               c, d} = {-2, 1, 1, 1} Det[M - x*IdentityMatrix[4]] NSolve[Det[M - 
               x*IdentityMatrix[4]] == 0, x] v[0] = {0, 1, 1, 2} v[n_] := v[n] = 
               M.v[n - 1] a = Flatten[Table[v[n], {n, 0, Floor[200/3]}]]
%Y A103648 Sequence in context: A056648 A056061 A029265 this_sequence A133771 A127309 
               A097853
%Y A103648 Adjacent sequences: A103645 A103646 A103647 this_sequence A103649 A103650 
               A103651
%K A103648 nonn,uned
%O A103648 0,4
%A A103648 Roger Bagula (rlbagulatftn(AT)yahoo.com), Mar 25 2005

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