login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A086761
Numbers k such that k-th cyclotomic polynomial has exactly 5 nonzero terms.
3
5, 10, 20, 25, 40, 50, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 640, 800, 1000, 1250, 1280, 1600, 2000, 2500, 2560, 3125, 3200, 4000, 5000, 5120, 6250, 6400, 8000, 10000, 10240, 12500, 12800, 15625, 16000, 20000, 20480, 25000, 25600, 31250, 32000
OFFSET
1,1
COMMENTS
A206787(a(n)) = 6. - Reinhard Zumkeller, Feb 12 2012
All terms have the form 2^a 5^b with a >= 0 and b > 0. - T. D. Noe, Feb 13 2012
If the above holds for all terms then this sequence is 5 * A003592. - David A. Corneth, Jul 04 2018
MATHEMATICA
Select[Range[1000], Count[CoefficientList[Cyclotomic[#, x], x], 0] == EulerPhi[#] - 4 &] (* T. D. Noe, Feb 13 2012 *)
PROG
(PARI) is(n) = v = Vec(polcyclo(n)); sum(i=1, #v, v[i]!=0) == 5 \\ David A. Corneth, Jul 04 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 02 2003
EXTENSIONS
More terms from T. D. Noe, Feb 13 2012
STATUS
approved