A373082 Number of runs of 0's in A014550(n).

1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 3

Offset

0,13

Links

Table of n, a(n) for n=0..99.

Prog

(Python)
def count_zero_runs_in_binary(n):
    binRep = bin(n)[2:]   # as binary, but ignore "0b" prefix
    zRuns = binRep.split('1')  # split on the 1's
    zRvec = [run for run in zRuns if run] # filter "" to get runs of 0
    return len(zRvec)
out = []
for i in range(100):
    gv = i ^ (i>>1)   # gray code
    ans = count_zero_runs_in_binary(gv)
    out.append(ans)
print(out)

Crossrefs

Cf. A014550.

Sequence in context: A194852 A158854 A376632 * A119849 A246588 A026492

Adjacent sequences: A373079 A373080 A373081 * A373083 A373084 A373085

Keyword

nonn,base

Author

James S. DeArmon, May 22 2024

Status

approved