

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
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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

Table of n, a(n) for n=1..60.
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



