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A135990
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Expansion of x^3*(x-1)*(x+1) / (x^5-2*x^4+x^2-1).
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0
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0, 0, 1, 0, 0, 0, -2, 1, -2, 1, 2, -3, 7, -7, 4, 1, -13, 22, -28, 24, -1, -33, 77, -109, 103, -44, -84, 251, -399, 442, -275, -144, 774, -1427, 1766, -1414, 74, 2214, -4885, 6808, -6447, 2454, 5537, -16047, 25239, -27402, 16619, 10229, -49906, 90272, -110546, 86433, -505, -144017, 310859, -427429, 398302
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OFFSET
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1,7
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LINKS
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FORMULA
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G.f.: x^3*(x-1)*(x+1) / (x^5-2*x^4+x^2-1). [Colin Barker, Feb 02 2013]
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MATHEMATICA
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v[0] = {0, 0, 1}; v[1] = {0, 1, 2};
M0 = {{0, 1, 0}, {0, 0, 1}, {1, 1, 0}};
N0 = {{0, 1, 0}, {0, 0, 1}, {1, 1, 1}};
v[n_] := v[n] = N0.v[n - 1] - M0.v[n - 2]
Table[v[n][[1]], {n, 0, 100}]
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CROSSREFS
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KEYWORD
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sign,easy,less
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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