OFFSET
1,2
COMMENTS
Every power of 2 will eventually appear in A353730, so the sequence is infinite.
LINKS
Rémy Sigrist, C++ program
PROG
(Python)
from itertools import count, islice
def ispow2(k): return bin(k).count("1") == 1
def agen(): # generator of terms
A352808lst = [0, 1]; A352808set = {0, 1}
k, mink, p = 1, 2, 2
for n in count(2):
if ispow2(k): yield n-1
ahalf, k = A352808lst[n//2], mink
while k in A352808set or k&ahalf: k += 1
A352808lst.append(k); A352808set.add(k)
while mink in A352808set: mink += 1
print(list(islice(agen(), 8))) # Michael S. Branicky, May 18 2022
(C++) See Links section.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
N. J. A. Sloane, May 18 2022
EXTENSIONS
a(16)-a(22) from Michael S. Branicky, May 19 2022
a(23)-a(28) from Rémy Sigrist, May 21 2022
STATUS
approved