This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A371163 #19 Mar 18 2024 10:08:36
%S A371163 0,1,2,9,10,115544,13568075,13568077,13568078,13568083,13568085,
%T A371163 13568086
%N A371163 Numbers that remain unchanged when converted to their compressed fibbinary numbers.
%e A371163 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.
%o A371163 (Python)
%o A371163 from itertools import count, islice
%o A371163 def A371163_gen(): # generator of terms
%o A371163 c = 0
%o A371163 for n in count(0):
%o A371163 if not (n<<1)&n:
%o A371163 if int(bin(n)[2:].replace('01','1'),2) == c:
%o A371163 yield c
%o A371163 c += 1
%o A371163 A371163_list = list(islice(A371163_gen(),6)) # _Chai Wah Wu_, Mar 18 2024
%Y A371163 Fixed points of A048679 and A048680.
%Y A371163 Cf. A000045, A003714.
%K A371163 base,nonn,more
%O A371163 1,3
%A A371163 _Douglas Boffey_, Mar 13 2024