|
|
A063708
|
|
Cyclotomic polynomials Phi_n at x=phi divided by sqrt(5) and ceiled up (where phi = tau = (sqrt(5)+1)/2).
|
|
5
|
|
|
1, 1, 2, 3, 2, 8, 1, 21, 4, 11, 3, 144, 3, 377, 6, 12, 22, 2584, 7, 6765, 16, 75, 35, 46368, 19, 7436, 90, 2619, 105, 832040, 26, 2178309, 988, 3400, 611, 20161, 137, 39088169, 1598, 23229, 862, 267914296, 183, 701408733, 4896, 35921, 10947, 4807526976
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
MAPLE
|
with(numtheory); Phi_at_x := (n, y) -> subs(x=y, cyclotomic(n, x)); [seq(ceil(evalf(simplify(Phi_at_x(j, (sqrt(5)+1)/2))/(sqrt(5)))), j=0..120)];
|
|
MATHEMATICA
|
Ceiling[Simplify[Cyclotomic[Range[0, 50], GoldenRatio]]/Sqrt[5]] (* Paolo Xausa, Feb 27 2024 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|