A063706 Cyclotomic polynomials Phi_n at x=phi, divided by sqrt(5) and rounded to nearest integer (where phi = tau = (sqrt(5)+1)/2).

1, 0, 1, 2, 2, 7, 1, 20, 4, 10, 2, 143, 2, 376, 5, 12, 21, 2583, 7, 6764, 15, 75, 34, 46367, 18, 7435, 89, 2618, 104, 832039, 25, 2178308, 987, 3400, 610, 20161, 136, 39088168, 1597, 23229, 861, 267914295, 182, 701408732, 4895, 35921, 10946, 4807526975

Offset: 0

Author

Antti Karttunen, Aug 03 2001

Keywords

• nonn

Links

• Paolo Xausa, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A063705, A051258, A063704, A063708.

Programs

Maple

with(numtheory); Phi_at_x := (n,y) -> subs(x=y,cyclotomic(n,x)); [seq(round(evalf(simplify(Phi_at_x(j,(sqrt(5)+1)/2))/(sqrt(5)))),j=0..120)];

Mathematica

Join[{1}, Round[Simplify[Cyclotomic[Range[50], GoldenRatio]]/Sqrt[5]]] (* Paolo Xausa, Feb 27 2024 *)

Extensions

a(43) and a(47) corrected by Sean A. Irvine, May 08 2023