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A192233
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Constant term of the reduction of the n-th cyclotomic polynomial by x^2->x+1.
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2
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-1, 1, 2, 2, 5, 2, 13, 3, 7, 3, 89, 2, 233, 5, 8, 14, 1597, 5, 4181, 10, 47, 23, 28657, 12, 4596, 57, 1619, 65, 514229, 16, 1346269, 611, 2102, 379, 12461, 85, 24157817, 989, 14357, 533, 165580141, 113, 433494437, 3026, 22201, 6767, 2971215073, 598, 171486453, 3836
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OFFSET
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1,3
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COMMENTS
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LINKS
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MATHEMATICA
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q[x_] := x + 1;
reductionRules = {x^y_?EvenQ -> q[x]^(y/2),
x^y_?OddQ -> x q[x]^((y - 1)/2)};
t = Table[
Last[Most[
FixedPointList[Expand[#1 /. reductionRules] &,
Cyclotomic[n, x]]]], {n, 1, 50}];
Table[Coefficient[Part[t, n], x, 0], {n, 1, 50}] (* A192233 *)
Table[Coefficient[Part[t, n], x, 1], {n, 1,
50}] (* A051258 Fibocyclotomic numbers *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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