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 A309373 a(n) is the smallest divisor of F(n+1) not already in the sequence (where F denotes the Fibonacci numbers A000045). 1
 1, 2, 3, 5, 4, 13, 7, 17, 11, 89, 6, 233, 29, 10, 21, 1597, 8, 37, 15, 26, 199, 28657, 9, 25, 521, 34, 39, 514229, 20, 557, 47, 178, 3571, 65, 12, 73, 113, 466, 33, 2789, 52, 433494437, 43, 61, 139, 2971215073, 14, 97, 55, 3194, 699, 953, 19, 445, 49, 74, 59 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This sequence is the Fibonacci variant of A309200. This sequence is a permutation of the natural numbers as for any m > 0, there are infinitely many multiples of m in A000045. LINKS Daniel Suteu, Table of n, a(n) for n = 1..1258 Index entries for sequences that are permutations of the natural numbers Rémy Sigrist, PARI program for A309373 EXAMPLE The first terms, alongside the divisors of F(n+1), are: n a(n) div(F(n+1)) -- ---- ---------------------------------------- 1 1 (1) 2 2 (1, 2) 3 3 (1, 3) 4 5 (1, 5) 5 4 (1, 2, 4, 8) 6 13 (1, 13) 7 7 (1, 3, 7, 21) 8 17 (1, 2, 17, 34) 9 11 (1, 5, 11, 55) 10 89 (1, 89) 11 6 (1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144) 12 233 (1, 233) PROG (PARI) See Links section. CROSSREFS Cf. A000045, A001177, A309200. Sequence in context: A193798 A101409 A271862 * A131401 A061446 A280690 Adjacent sequences: A309370 A309371 A309372 * A309374 A309375 A309376 KEYWORD nonn AUTHOR Rémy Sigrist, Jul 26 2019 STATUS approved

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Last modified December 8 08:36 EST 2023. Contains 367663 sequences. (Running on oeis4.)