A013591 Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 3.

385, 595, 665, 770, 935, 1155, 1190, 1235, 1309, 1330, 1365, 1463, 1495, 1540, 1729, 1785, 1855, 1870, 1925, 1955, 1995, 2065, 2145, 2261, 2310, 2380, 2415, 2431, 2465, 2470, 2618, 2660, 2665, 2695, 2717, 2730, 2737, 2795, 2805, 2821

Offset

1,1

Links

Table of n, a(n) for n=1..40.

Maple

isA013591 := proc(n)
    numtheory[cyclotomic](n, x) ;
    {coeffs(%, x)} ;
    map(abs, %) ;
    if % minus {1, 2}  = {} then
        false;
    else
        true;
    end if;
end proc:
for n from 1 do
    if isA013591(n) then
        print(n);
    end if;
end do: # R. J. Mathar, Nov 28 2016

Mathematica

S[ n_ ] := For[ j=1; t=0, j<n, j++, t=Cases[ CoefficientList[ Cyclotomic[ j, x ], x ], k_ /; Abs[ k ]>2 ]; If[ Length[ t ]!=0, Print[ j ] ] ]; S[ 2822 ]
Select[Range[3000], Max[Abs[CoefficientList[Cyclotomic[#, x], x]]]>2&] (* Harvey P. Dale, Feb 27 2015 *)

Crossrefs

Sequence in context: A274445 A227974 A069043 * A152941 A229853 A317272

Adjacent sequences: A013588 A013589 A013590 * A013592 A013593 A013594

Keyword

nonn

Author

Peter T. Wang (peterw(AT)cco.caltech.edu)

Extensions

Definition clarified by Harvey P. Dale, Feb 27 2015

Status

approved