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A098054
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Let M={{0,1},{1,1}}, M0=MatrixPower[(M-IdentityMatrix[2]),2], Det[M0]; a[n_]:=M0.a[n-1]; a[0]:={{0,1},{1,1}};
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0, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 1, 8, 5, 5, 3, 21, 13, 13, 8, 55, 34, 34, 21, 144, 89, 89, 55, 377, 233, 233, 144, 987, 610, 610, 377, 2584, 1597, 1597, 987, 6765, 4181, 4181, 2584, 17711, 10946, 10946, 6765, 46368, 28657, 28657, 17711, 121393, 75025, 75025
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,9
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COMMENTS
| 2 X 2 matrix sequence of square (M-I)^2 on Fibonacci generator matrix.
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MATHEMATICA
| (* 2 X 2 matrix sequence*) digits=50 M={{0, 1}, {1, 1}} M0=MatrixPower[(M-IdentityMatrix[2]), 2] Det[M0] A[n_]:=M0.A[n-1]; A[0]:={{0, 1}, {1, 1}}; (* flattened sequence of 2 X 2 matrices made with an alternating recurrence*) b=Flatten[Table[Abs[A[n]], {n, 0, digits}]] ListPlot[b, PlotJoined->True]
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CROSSREFS
| Sequence in context: A131015 A130195 A071048 * A075801 A116943 A144476
Adjacent sequences: A098051 A098052 A098053 * A098055 A098056 A098057
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KEYWORD
| nonn
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Sep 11 2004
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