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 A206097 #15 Aug 02 2024 01:55:58
%S A206097 55,4181,17711,121393,5702887
%N A206097 Fibonacci numbers F that are squarefree semiprimes such that F+2 or F-2 is also a squarefree semiprime.
%C A206097 a(6) > Fibonacci(1500), if it exists. - _Amiram Eldar_, Aug 01 2024
%e A206097 55 = Fibonacci(10) is a term because 55 = 5 * 11 and 55 + 2 = 57 = 3 * 19 are both squarefree semiprimes.
%e A206097 4181 = Fibonacci(19) is a term because 4181 = 37 * 113 and 4181 + 2 = 4183 = 47 * 89 are both squarefree semiprimes.
%t A206097 Select[Fibonacci[Range[300]], Last/@FactorInteger[#]=={1,1} && (Last/@FactorInteger[#+2]=={1,1} || Last/@FactorInteger[#-2]=={1,1})&]
%Y A206097 Subsequence of A000045, A006881 and A053409.
%Y A206097 Cf. A072381.
%K A206097 nonn
%O A206097 1,1
%A A206097 _Vladimir Joseph Stephan Orlovsky_, Feb 03 2012
%E A206097 Name corrected by _Amiram Eldar_, Aug 01 2024