A192233 Constant term of the reduction of the n-th cyclotomic polynomial by x^2->x+1.

-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

Offset: 1

Author

Clark Kimberling, Jun 26 2011

Keywords

• sign

Comments

See A192232.

Crossrefs

Cf. A192232.

Programs

Mathematica

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 *)
(* by Peter J. C. Moses, Jun 25 2011 *)