A366160 Numbers whose binary expansion is not quasiperiodic.

1, 2, 4, 5, 6, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 37, 38, 39, 40, 41, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76, 77, 78, 79

Offset

1,2

Comments

See A320441 for the definition of quasiperiodic.

All numbers 2^k + 1 >= 5 are terms (A000051).

All powers of 2 are terms (A000079).

Links

Table of n, a(n) for n=1..67.

Prog

(Python)
A000225 = lambda n: (1 << n) - 1
def isA320441(k):
  # Code after Michael S. Branicky, Mar 24 2022 in A320434.
  tt, l = 1, k.bit_length()
  for x in range(0, l + 1):
    m = A000225(x)
    t = k & m
    if (t != tt):
      if (t == k): return False
      r = k
      for g in range(0, x):
        r >>= 1
        if (r & m == t) and (r == t): return True
      tt = t
print([n for n in range(1, 80) if not isA320441(n)])

Crossrefs

Cf. A000051, A000079, A000225, A320441 (complement).

Sequence in context: A171599 A328594 A346129 * A288174 A280998 A043687

Adjacent sequences: A366157 A366158 A366159 * A366161 A366162 A366163

Keyword

nonn,base

Author

Darío Clavijo, Oct 02 2023

Status

approved