A125592 Evil numbers (A001969) multiplied by 2.

0, 6, 10, 12, 18, 20, 24, 30, 34, 36, 40, 46, 48, 54, 58, 60, 66, 68, 72, 78, 80, 86, 90, 92, 96, 102, 106, 108, 114, 116, 120, 126, 130, 132, 136, 142, 144, 150, 154, 156, 160, 166, 170, 172, 178, 180, 184, 190, 192, 198, 202, 204, 210, 212, 216, 222, 226, 228, 232, 238

Offset

1,2

Comments

Numbers n such that the Maple command genpoly(n,2,t) outputs a polynomial in F_2[t] that is divisible by t(t+1), where F_2 is the finite field with two elements. E.g. a(2)=10 since the polynomial genpoly(10,2,t)=t^3+t = t(t+1)(t+1) in F_2[t] is divisible by the polynomial t(t+1) in F_2[t]

These are the even evil numbers: the intersection of A001968 and A005843. - Tanya Khovanova, May 04 2007

Links

Table of n, a(n) for n=1..60.

Mathematica

2*Select[Range[0, 120], EvenQ[DigitCount[#, 2, 1]]&] (* Harvey P. Dale, Jun 14 2017 *)

Prog

(PARI) is(n)=n%2==0 && hammingweight(n)%2==0 \\ Charles R Greathouse IV, Mar 22 2013
(PARI) a(n)=4*n--+hammingweight(n)%2*2 \\ Charles R Greathouse IV, Mar 22 2013

Crossrefs

Sequence in context: A351614 A066038 A242100 * A292431 A110085 A315126

Adjacent sequences: A125589 A125590 A125591 * A125593 A125594 A125595

Keyword

nonn,easy

Author

Luis H. Gallardo and Johan Huisman, Jan 07 2007

Status

approved