

A117730


Numbers for which the largest proper divisor is a Fibonacci number.


1



2, 3, 4, 5, 6, 7, 9, 10, 11, 13, 15, 16, 17, 19, 23, 25, 26, 29, 31, 37, 39, 41, 42, 43, 47, 53, 59, 61, 63, 65, 67, 68, 71, 73, 79, 83, 89, 91, 97, 101, 103, 107, 109, 110, 113, 127, 131, 137, 139, 143, 149, 151, 157, 163, 165, 167, 169, 173, 178, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229
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OFFSET

1,1


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000


EXAMPLE

275 is in the sequence because the largest proper divisor is 55 and 55 is a Fibonacci number.


MATHEMATICA

fibs=Fibonacci[Range[25]]; Select[Range[2, 500], MemberQ[fibs, Last[Most[Divisors[#]]]]&] (* Harvey P. Dale, Dec 20 2010 *)


CROSSREFS

Cf. A000040, A000045, A032742.
Sequence in context: A062462 A033948 A285514 * A193838 A174328 A272570
Adjacent sequences: A117727 A117728 A117729 * A117731 A117732 A117733


KEYWORD

nonn


AUTHOR

Luc Stevens (lms022(AT)yahoo.com), Apr 13 2006


EXTENSIONS

Corrected and additional terms provided by Harvey P. Dale, Dec 20 2010
Offset corrected by Amiram Eldar, Jul 16 2022


STATUS

approved



