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 A076212 #25 Sep 10 2024 08:44:26 %S A076212 1,3,5,7,9,10,11,13,14,17,22,23,26,29,34,43,47,64,83,94,121,131,137, %T A076212 359,431,433,449,509,569,571 %N A076212 Numbers k such that k and Fibonacci(k) have the same number of prime factors, counted with multiplicity. %C A076212 More precisely, numbers n such that Omega(n) = Omega(Fibonacci(n)), where Omega(n) (A001222) denotes the number of prime factors of n, counting multiplicity. %C A076212 a(31) > 1422, if it exists. - _Amiram Eldar_, Sep 10 2024 %e A076212 9 is a term because 9 and 9th Fibonacci number (i.e., 34) have the same number of prime factors, i.e., 2. %p A076212 with(numtheory): with(combinat): a:=proc(n) if bigomega(n)=bigomega(fibonacci(n)) then n else fi end: seq(a(n),n=1..150); # _Emeric Deutsch_, Feb 15 2006 %t A076212 Select[Range[150], PrimeOmega[#] == PrimeOmega[Fibonacci[#]] &] %o A076212 (PARI) is(k) = bigomega(k) == bigomega(fibonacci(k)); \\ _Amiram Eldar_, Sep 10 2024 %Y A076212 Cf. A000045, A001222, A038575. %K A076212 nonn,more %O A076212 1,2 %A A076212 _Joseph L. Pe_, Nov 03 2002 %E A076212 a(24) from _Harvey P. Dale_, May 01 2008 %E A076212 Edited by _R. J. Mathar_, Aug 11 2008 %E A076212 More terms from _D. S. McNeil_, Dec 23 2010