

A354141


Indices of terms in A352808 that are powers of 2.


2



1, 2, 3, 5, 9, 22, 31, 61, 121, 247, 479, 951, 1862, 3802, 7431, 15180, 29723, 59766, 118893, 239999, 475573, 959341, 1902293, 3835229, 7609175, 15268473, 30436701, 61001391
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OFFSET

1,2


COMMENTS

Every power of 2 will eventually appear in A353730, so the sequence is infinite.


LINKS

Table of n, a(n) for n=1..28.
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 n1
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

Cf. A352808, A353734.
Sequence in context: A101581 A349676 A287915 * A105180 A094206 A278119
Adjacent sequences: A354138 A354139 A354140 * A354142 A354143 A354144


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



