A371163 Numbers that remain unchanged when converted to their compressed fibbinary numbers.

0, 1, 2, 9, 10, 115544, 13568075, 13568077, 13568078, 13568083, 13568085, 13568086

Offset

1,3

Links

Table of n, a(n) for n=1..12.

Example

9 is a term since 9 = 8 + 1 = F(6) + F(2), where F(i) is the i-th Fibonacci number, is Fibbinary A003714(9) = 10001_2, but then all '01's are compressed to '1', leaving A048679(9) = 1001_2, which is 9 itself again.

Prog

(Python)
from itertools import count, islice
def A371163_gen(): # generator of terms
    c = 0
    for n in count(0):
        if not (n<<1)&n:
            if  int(bin(n)[2:].replace('01', '1'), 2) == c:
                yield c
            c += 1
A371163_list = list(islice(A371163_gen(), 6)) # Chai Wah Wu, Mar 18 2024

Crossrefs

Fixed points of A048679 and A048680.

Cf. A000045, A003714.

Sequence in context: A338997 A363951 A085069 * A207670 A176545 A072065

Adjacent sequences: A371160 A371161 A371162 * A371164 A371165 A371166

Keyword

base,nonn,more

Author

Douglas Boffey, Mar 13 2024

Status

approved