A059012 Numbers that have an even number of 0's and 1's in their binary expansion.

3, 9, 10, 12, 15, 33, 34, 36, 39, 40, 43, 45, 46, 48, 51, 53, 54, 57, 58, 60, 63, 129, 130, 132, 135, 136, 139, 141, 142, 144, 147, 149, 150, 153, 154, 156, 159, 160, 163, 165, 166, 169, 170, 172, 175, 177, 178, 180, 183, 184, 187, 189, 190, 192, 195, 197, 198

Offset

1,1

Comments

Intersection of A001969 and A059010.

Links

Indranil Ghosh, Table of n, a(n) for n = 1..32768

Example

36 is in the sequence because 36 = 100100_10. '100100' has two 1's and four 0's. - Indranil Ghosh, Feb 10 2017

Mathematica

Select[Range[200], AllTrue[{DigitCount[#, 2, 0], DigitCount[#, 2, 1]}, EvenQ]&] (* Harvey P. Dale, Aug 16 2021 *)

Prog

(PARI) is(n)=hammingweight(n)%2==0 && hammingweight(bitneg(n, #binary(n)))%2==0 \\ Charles R Greathouse IV, Mar 26 2013
(Python)
i=0
j=1
while j<=300:
    if bin(i)[2:].count("1")%2 == 0 == bin(i)[2:].count("0")%2:
        print(str(j)+" "+str(i))
        j+=1
    i+=1 # Indranil Ghosh, Feb 10 2017

Crossrefs

Cf. A000069, A001969, A059009-A059014.

Sequence in context: A119203 A115403 A282409 * A352317 A055063 A030354

Adjacent sequences: A059009 A059010 A059011 * A059013 A059014 A059015

Keyword

nonn,base,easy

Author

Patrick De Geest, Dec 15 2000

Status

approved