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a(n) = A000045(n) / A105800(n); the n-th Fibonacci number divided by its largest Fibonacci proper divisor.
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%I #9 Jan 12 2017 07:18:31

%S 1,1,2,3,5,4,13,7,17,11,89,18,233,29,122,47,1597,76,4181,123,842,199,

%T 28657,322,15005,521,5777,843,514229,1364,1346269,2207,39602,3571,

%U 709805,5778,24157817,9349,271442,15127,165580141,24476,433494437,39603,1860497,64079,2971215073,103682,598364773,167761,12752042,271443

%N a(n) = A000045(n) / A105800(n); the n-th Fibonacci number divided by its largest Fibonacci proper divisor.

%C A000045 is a divisibility sequence.

%H Antti Karttunen, <a href="/A280690/b280690.txt">Table of n, a(n) for n = 1..377</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Divisibility_sequence">Divisibility sequence</a>

%F a(n) = A000045(n) / A105800(n) = A000045(n) / A000045(A032742(n)).

%F a(n) = A280687(A000045(n)).

%F Other identities. For all n >= 1:

%F a(A032742(n)) = A280689(n).

%o (Scheme, two alternatives)

%o (define (A280690 n) (/ (A000045 n) (A105800 n)))

%o (define (A280690 n) (A280687 (A000045 n)))

%Y Cf. A000045, A032742, A105800, A280687, A280689.

%K nonn

%O 1,3

%A _Antti Karttunen_, Jan 11 2017