|
Search: id:A097886
|
|
|
| A097886 |
|
Near-minimal Pisot (near theta2) 5 X 5 Markov sequence. |
|
+0
1
|
|
| 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 3, 5, 1, 2, 3, 5, 7, 2, 3, 5, 7, 10, 1, 1, 1, 2, 3, 1, 1, 2, 3, 5, 1, 2, 3, 5, 7, 2, 3, 5, 7, 10, 3, 5, 7, 10, 14, 1, 1, 2, 3, 5, 1, 2, 3, 5, 7, 2, 3, 5, 7, 10, 3, 5, 7, 10, 14, 5, 7, 10, 14, 20, 1, 2, 3, 5, 7, 2, 3, 5, 7, 10, 3, 5, 7, 10, 14, 5, 7, 10, 14, 20, 7, 10
(list; graph; listen)
|
|
|
OFFSET
|
0,5
|
|
|
FORMULA
|
M={{0, 1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, 0, 1}, {1, 0, -1, 1, 1}} A[n_]:=M.A[n-1]; A[0]:={{1, 1, 1, 1, 1}, {1, 1, 1, 1, 2}, {1, 1, 1, 2, 3}, {1, 1, 2, 3, 5}, {1, 2, 3, 5, 7}};
|
|
MATHEMATICA
|
Clear[M, A, x] (* near Minimal Pisot ( near theta2) 5 X 5 Markov sequence*) digits=12 M={{0, 1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, 0, 1}, {1, 0, -1, 1, 1}} Det[M] A[n_]:=M.A[n-1]; A[0]:={{1, 1, 1, 1, 1}, {1, 1, 1, 1, 2}, {1, 1, 1, 2, 3}, {1, 1, 2, 3, 5}, {1, 2, 3, 5, 7}}; i=IdentityMatrix[5] Det[M-x*i] (* flattened sequence of 5 X 5 matrices made with a (near theta2) Minimal Pisot recurrence*) b=Flatten[Table[M.A[n], {n, 0, digits}]] Dimensions[b][[1]] ListPlot[b, PlotJoined->True]
|
|
CROSSREFS
|
Sequence in context: A066170 A071773 A000188 this_sequence A088863 A053283 A035669
Adjacent sequences: A097883 A097884 A097885 this_sequence A097887 A097888 A097889
|
|
KEYWORD
|
nonn,uned
|
|
AUTHOR
|
Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Sep 02 2004
|
|
|
Search completed in 0.002 seconds
|
