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 A080345 #31 Jul 26 2022 22:04:04 %S A080345 0,1,1,1,1,1,1,2,1,1,2,3,2,1,1,2,2,2,3,2,2,2,1,2,4,2,3,2,2,2,2,1,1,3, %T A080345 4,2,4,4,2,2,3,3,2,2,4,2,4,4,2,5,3,4,3,2,3,3,4,2,2,3,4,2,4,4,4,3,2,3, %U A080345 5,4,2,1,7,5,4,3,3,2,2,4,3,4,1,1,5,5,1,3,5,3,2,3,4,3,4,6,1,3,4,3 %N A080345 a(n) is the number of prime factors in Fibonacci(prime(n)); that is, in the Fibonacci number whose index is the n-th prime. %C A080345 In all known examples, Fibonacci(prime(n)) is squarefree, in which case a(n) is well-defined, i.e., the number of distinct prime factors equals the total number of prime factors. But if for some n, Fibonacci(prime(n)) has a repeated prime factor, then a(n) is not well-defined. - _Jonathan Sondow_, Oct 22 2015 %H A080345 Amiram Eldar, <a href="/A080345/b080345.txt">Table of n, a(n) for n = 1..222</a> (terms 1..168 from T. D. Noe) %H A080345 Blair Kelly, <a href="http://mersennus.net/fibonacci//">Fibonacci and Lucas Factorizations</a> %F A080345 a(n) = A001221(A000045(A000040(n))). - _Michel Marcus_, Oct 22 2015 %e A080345 a(12) = 3 because the 12th prime is 37 and Fibonacci(37) = 24157817 = 73 * 149 * 2221 has 3 prime factors. - clarified by _Jonathan Sondow_, Oct 21 2015 %t A080345 Table[Length[FactorInteger[Fibonacci[Prime[n]]]], {n, 60}] %t A080345 PrimeNu[Fibonacci[Prime[Range[100]]]] (* _Harvey P. Dale_, Mar 13 2016 *) %o A080345 (PARI) a(n) = omega(fibonacci(prime(n))); \\ _Michel Marcus_, Oct 22 2015 %Y A080345 Cf. A001605, A022307. %K A080345 hard,nonn %O A080345 1,8 %A A080345 _T. D. Noe_, Feb 16 2003