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A221167
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The infinite generalized Fibonacci word p^[3].
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5
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0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 3, 0, 3, 0, 1, 0, 1, 0, 3, 0, 3, 2, 3, 2, 3, 0, 3, 0, 1, 0, 1, 0, 3, 0, 3, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 3, 0, 3, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2
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OFFSET
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0,5
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LINKS
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MAPLE
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# fmorph, sigma1f and sigma01f are defined in A221166
sigma01f(n, 3) ;
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MATHEMATICA
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fibi[n_, i_] := fibi[n, i] = Which[n == 0, {0}, n == 1, Append[Table[0, {j, 1, i - 1}], 1], True, Join[fibi[n - 1, i], fibi[n - 2, i]]];
fibonni[n_, i_] := fibonni[n, i] = Module[{fn, Fn}, For[fn = 0, True, fn++, Fn = fibi[fn, i]; If[Length[Fn] >= n + 1 && Length[Fn] > i + 3, Return[Fn[[n + 1]]]]]];
fmorph[n_, i_] := If[fibonni[n, i] == 0, 2, 0];
sigma1f[n_, i_] := If[n == 0, 1, 1 + Mod[Sum[fmorph[j, i], {j, 0, n - 1}], 4]];
sigma01f[n_, i_] := If[n == 0, 0, Mod[Sum[sigma1f[j, i], {j, 0, n - 1}], 4]];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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