A013592 Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.

1365, 1785, 1995, 2145, 2415, 2431, 2717, 2730, 2737, 2805, 2849, 3003, 3135, 3255, 3315, 3553, 3570, 3689, 3705, 3795, 3885, 3927, 3990, 4081, 4095, 4147, 4199, 4290, 4305, 4485, 4515, 4543, 4641, 4785, 4830, 4845, 4862, 4991, 5005, 5115, 5187, 5291, 5313

Offset

1,1

Links

Table of n, a(n) for n=1..43.

Maple

isA013592 := proc(n)
    numtheory[cyclotomic](n, x) ;
    {coeffs(%, x)} ;
    map(abs, %) ;
    if % minus {1, 2, 3}  = {} then
        false;
    else
        true;
    end if;
end proc:
for n from 1 do
    if isA013592(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 ]>3 ]; If[ Length[ t ]!=0, Print[ j ] ] ]; S[ 4290 ]
Select[Range[6300], Max[Abs[CoefficientList[Cyclotomic[#, x], x]]]>3&] (* Harvey P. Dale, Feb 26 2015 *)

Prog

(PARI) isok(n) = my(v = Vec(polcyclo(n))); (vecmax(v) >= 4) || (vecmin(v) <= -4); \\ Michel Marcus, Feb 26 2015

Crossrefs

Sequence in context: A276170 A028486 A281479 * A152942 A043686 A043578

Adjacent sequences: A013589 A013590 A013591 * A013593 A013594 A013595

Keyword

nonn

Author

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

Extensions

Definition clarified by and more terms from Harvey P. Dale, Feb 26 2015

Status

approved