A013592 - OEIS

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

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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