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A019532
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Numbers k such that Fibonacci(k) divides k!.
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10
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OFFSET
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1,2
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COMMENTS
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These terms m are called “triphobe” or “3-phobe” numbers, by the French website Diophante (see link), because there are no 3 positive integers b_1 < b_2 < b_3 such that b_1 divides b_2, b_2 divides b_3, and m = b_1 + b_2 + b_3. A number that is not “triphobe” is called “triphile” or “3-phile” (A160811). The set of k-phobe numbers is always finite, there exist 9 triphobe numbers and the largest one is 24. - Bernard Schott, Oct 23 2021
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REFERENCES
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Posting to math-fun(AT)cs.arizona.edu by R. W. Gosper Nov 06 1996.
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LINKS
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MATHEMATICA
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Select[Range[30], Divisible[#!, Fibonacci[#]]&] (* Harvey P. Dale, Jun 14 2020 *)
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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