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%I #16 Jan 11 2018 02:40:03
%S 1,4,24,451,20801,2576099,827294629,698114862576,1540142884690276,
%T 8900260727038783399,134626641626040936157699,
%U 5331733869372412024840703621,552800277142057127306392295957801
%N Quotient F(n(n+1))/{F(n)*F(n+1)}, where F(n) is the n-th Fibonacci number A000045(n).
%H Robert Israel, <a href="/A103624/b103624.txt">Table of n, a(n) for n = 1..69</a>
%F a(n) = phi^(n^2 - n - 1) + O(phi^(n^2 - 3n)). [_Charles R Greathouse IV_, Feb 01 2012]
%p seq(combinat:-fibonacci(n*(n+1))/combinat:-fibonacci(n)/combinat:-fibonacci(n+1),n=1..25); # _Robert Israel_, Jan 11 2018
%t Table[Fibonacci[n(n+1)]/(Fibonacci[n]Fibonacci[n+1]),{n,20}] (* _Harvey P. Dale_, Aug 04 2012 *)
%o (PARI) {a(n)=fibonacci(n*(n+1))/(fibonacci(n)*fibonacci(n+1))} \\ _Paul D. Hanna_, Jan 28 2012
%Y Cf. A000045, A205505, A051294, A028412, A037943.
%K nonn,easy
%O 1,2
%A _Lekraj Beedassy_, Mar 25 2005
%E a(2) corrected by _Paul D. Hanna_, Jan 28 2012
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