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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 (list; graph; refs; listen; history; text; internal format)
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 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

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

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Last modified December 2 07:06 EST 2022. Contains 358493 sequences. (Running on oeis4.)