Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%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