A353168 Polynomials over GF(2) that are divisible by x^2+x+1, encoded as binary numbers.

0, 7, 9, 14, 18, 21, 27, 28, 35, 36, 42, 45, 49, 54, 56, 63, 65, 70, 72, 79, 83, 84, 90, 93, 98, 101, 107, 108, 112, 119, 121, 126, 130, 133, 139, 140, 144, 151, 153, 158, 161, 166, 168, 175, 179, 180, 186, 189, 195, 196, 202, 205, 209, 214, 216, 223, 224, 231, 233

Offset

1,2

Comments

Terms of A048727, sorted.

Links

Table of n, a(n) for n=1..59.

Prog

(Python)
from itertools import count, chain, islice
def A353168_gen(): # generator of terms
    return chain((0, ), chain.from_iterable((sorted(n^ n<<1 ^ n<<2 for n in range(2**l, 2**(l+1))) for l in count(0))))
A353168_list = list(islice(A353168_gen(), 30)) # Chai Wah Wu, Jun 29 2022

Crossrefs

Cf. A048727.

See also A001969 for those divisible by x + 1.

Sequence in context: A320325 A320699 A332514 * A305214 A319877 A020939

Adjacent sequences: A353165 A353166 A353167 * A353169 A353170 A353171

Keyword

nonn

Author

Jack Zhang, Apr 28 2022

Extensions

More terms from David A. Corneth, Apr 28 2022

Status

approved