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A328733 List of numbers k such that Fibonacci(k) and Fibonacci(k+1) have the same number of prime factors, counted with multiplicity.

%I A328733 #35 May 24 2021 00:08:02
%S A328733 1,3,4,8,9,15,27,37,38,44,68,104,116,124,170,201,202,205,214,291,302,
%T A328733 361,381,387,403,428,469,474,502,507,514,565,584,602,603,622,628,663,
%U A328733 668,669,675,698,710,745,763,766,865,872,873,898,922,968,1006,1015,1018,1035,1075,1146,1153,1182
%N A328733 List of numbers k such that Fibonacci(k) and Fibonacci(k+1) have the same number of prime factors, counted with multiplicity.
%C A328733 F(1) and F(2), both being 1, count as having zero prime factors each.
%C A328733 0 is not a term since all primes divide 0.
%C A328733 For the corresponding Fibonacci numbers, see A328734.
%H A328733 Blair Kelly, <a href="http://mersennus.net/fibonacci/">Fibonacci factorizations up to 1000 terms</a>
%H A328733 Tomás Roca Sánchez, <a href="https://github.com/greenlucid/oeis/blob/master/b02.py">Python script that uses already factorized numbers of the sequence</a>
%e A328733 F(8) = 21 = 3 * 7, and F(9) = 34 = 2 * 17 have 2 prime factors each, so 8 is a part of the sequence.
%o A328733 (Python) # See link
%o A328733 (PARI) isok(k) = bigomega(fibonacci(k)) == bigomega(fibonacci(k+1)); \\ _Michel Marcus_, Nov 11 2019
%Y A328733 Cf. A000045, A038575, A328734.
%K A328733 nonn
%O A328733 1,2
%A A328733 _Tomás Roca Sánchez_, Oct 26 2019
%E A328733 More terms from _Amiram Eldar_, Oct 26 2019