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A280689 a(n) = A000045(A032742(n)) / A000045(A054576(n)), where A000045(n) gives the n-th Fibonacci number, A032742(n) = the largest proper divisor of n, and A054576(n) = A032742(A032742(n)). 5

%I #10 Jan 12 2017 07:18:24

%S 1,1,1,1,1,2,1,3,2,5,1,4,1,13,5,7,1,17,1,11,13,89,1,18,5,233,17,29,1,

%T 122,1,47,89,1597,13,76,1,4181,233,123,1,842,1,199,122,28657,1,322,13,

%U 15005,1597,521,1,5777,89,843,4181,514229,1,1364,1,1346269,842,2207,233,39602,1,3571,28657,709805,1,5778,1,24157817,15005,9349,89,271442,1,15127,5777

%N a(n) = A000045(A032742(n)) / A000045(A054576(n)), where A000045(n) gives the n-th Fibonacci number, A032742(n) = the largest proper divisor of n, and A054576(n) = A032742(A032742(n)).

%C A000045 is a divisibility sequence, which guarantees that the result of the division is an integer.

%H Antti Karttunen, <a href="/A280689/b280689.txt">Table of n, a(n) for n = 1..987</a>

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

%F a(n) = A105800(n) / A280688(n) = A105800(n) / A105800(A032742(n)).

%F a(n) = A000045(A032742(n)) / A000045(A054576(n)).

%F a(n) = A280690(A032742(n)).

%o (Scheme) (define (A280689 n) (/ (A105800 n) (A280688 n)))

%Y Cf. A000045, A032742, A054576, A105800, A280688, A280690, A280691.

%K nonn

%O 1,6

%A _Antti Karttunen_, Jan 11 2017

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)