A044873 Numbers having, in base 2, (sum of even run lengths)=(sum of odd run lengths).

9, 11, 13, 133, 135, 140, 143, 146, 148, 150, 152, 154, 156, 161, 164, 166, 172, 175, 178, 180, 182, 189, 196, 198, 200, 202, 206, 210, 212, 214, 216, 218, 220, 225, 228, 230, 236, 239, 241, 245, 247, 2065, 2069, 2071, 2077

Offset

1,1

Links

Table of n, a(n) for n=1..45.

Prog

(Python)
from itertools import groupby
def ok(n):
    rl_sums = [0, 0]
    for k, g in groupby(bin(n)[2:]):
        rl = len(list(g))
        rl_sums[rl%2] += rl
    return rl_sums[0] == rl_sums[1]
print(list(filter(ok, range(2078)))) # Michael S. Branicky, Sep 11 2021

Crossrefs

Cf. A007088.

Cf. A044874, A044875, A044876, A044877, A044878, A044879, A044880.

Cf. A044881, A044882, A044883, A044884, A044885, A044886, A044887.

Sequence in context: A254936 A117675 A027726 * A341080 A279519 A307188

Adjacent sequences: A044870 A044871 A044872 * A044874 A044875 A044876

Keyword

nonn,base

Author

Clark Kimberling

Status

approved