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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. 1
 1, 3, 4, 8, 9, 15, 27, 37, 38, 44, 68, 104, 116, 124, 170, 201, 202, 205, 214, 291, 302, 361, 381, 387, 403, 428, 469, 474, 502, 507, 514, 565, 584, 602, 603, 622, 628, 663, 668, 669, 675, 698, 710, 745, 763, 766, 865, 872, 873, 898, 922, 968, 1006, 1015, 1018, 1035, 1075, 1146, 1153, 1182 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS F(1) and F(2), both being 1, count as having zero prime factors each. 0 is not a term since all primes divide 0. For the corresponding Fibonacci numbers, see A328734. LINKS Blair Kelly, Fibonacci factorizations up to 1000 terms Tomás Roca Sánchez, Python script that uses already factorized numbers of the sequence EXAMPLE F(8) = 21 = 3 * 7, and F(9) = 34 = 2 * 17 have 2 prime factors each, so 8 is a part of the sequence. PROG (Python) # See link (PARI) isok(k) = bigomega(fibonacci(k)) == bigomega(fibonacci(k+1)); \\ Michel Marcus, Nov 11 2019 CROSSREFS Cf. A000045, A038575, A328734. Sequence in context: A058074 A319875 A123722 * A217788 A273257 A249485 Adjacent sequences:  A328730 A328731 A328732 * A328734 A328735 A328736 KEYWORD nonn AUTHOR Tomás Roca Sánchez, Oct 26 2019 EXTENSIONS More terms from Amiram Eldar, Oct 26 2019 STATUS approved

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Last modified August 11 22:58 EDT 2022. Contains 356067 sequences. (Running on oeis4.)