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 A074698 Numbers k that divide the number of divisors of Fibonacci(k). 2
 1, 24, 48, 60, 64, 96, 128, 192, 256, 336, 384, 512, 576, 768, 1024, 1536, 1920, 2048, 3072 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Are all numbers of the form 2^m*24 and 2^m*64, m >= 0, in the sequence? This sequence is infinite (Luca, 2002). - Amiram Eldar, Jan 12 2022 LINKS Florian Luca, Problem H-590, Advanced Problems and Solutions, The Fibonacci Quarterly, Vol. 40, No. 5 (2002), p. 472; Arithmetic Functions of Fibonacci Numbers, Solution to Problem H-590 by J.-Ch. Schlage-Puchta and J. Spilker, ibid., Vol. 41, No. 4 (2002), pp. 382-384. MAPLE with(combinat): with(numtheory): a:=proc(n) if type(tau(fibonacci(n))/n, integer) then n fi end: seq(a(n), n=1..200); # Emeric Deutsch, Jan 30 2006 MATHEMATICA With[{nn=200}, Select[Thread[{DivisorSigma[0, Fibonacci[Range[nn]]], Range[nn]}], Divisible[#[[1]], #[[2]]]&]][[All, 2]] (* The program generates the first 8 terms of the sequence. To generate more, increase the value of nn but the program may take a long time to run. *) (* Harvey P. Dale, Feb 17 2021 *) PROG (PARI) isok(n) = ! (numdiv(fibonacci(n)) % n); \\ Michel Marcus, Sep 10 2017 CROSSREFS Cf. A000005, A000045, A063375. Sequence in context: A105779 A199105 A329884 * A334759 A341296 A338853 Adjacent sequences: A074695 A074696 A074697 * A074699 A074700 A074701 KEYWORD nonn,more AUTHOR Benoit Cloitre, Sep 03 2002 EXTENSIONS a(9) from Emeric Deutsch, Jan 30 2006 a(10)-a(19) from Charles R Greathouse IV, Nov 07 2016 STATUS approved

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Last modified March 22 18:34 EDT 2023. Contains 361432 sequences. (Running on oeis4.)