A103624 Quotient F(n(n+1))/{F(n)*F(n+1)}, where F(n) is the n-th Fibonacci number A000045(n).
1, 4, 24, 451, 20801, 2576099, 827294629, 698114862576, 1540142884690276, 8900260727038783399, 134626641626040936157699, 5331733869372412024840703621, 552800277142057127306392295957801
Offset: 1
Links
- Robert Israel, Table of n, a(n) for n = 1..69
Programs
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Maple
seq(combinat:-fibonacci(n*(n+1))/combinat:-fibonacci(n)/combinat:-fibonacci(n+1),n=1..25); # Robert Israel, Jan 11 2018
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Mathematica
Table[Fibonacci[n(n+1)]/(Fibonacci[n]Fibonacci[n+1]),{n,20}] (* Harvey P. Dale, Aug 04 2012 *) -
PARI
{a(n)=fibonacci(n*(n+1))/(fibonacci(n)*fibonacci(n+1))} \\ Paul D. Hanna, Jan 28 2012
Formula
a(n) = phi^(n^2 - n - 1) + O(phi^(n^2 - 3n)). [Charles R Greathouse IV, Feb 01 2012]
Extensions
a(2) corrected by Paul D. Hanna, Jan 28 2012