%I #2 Oct 12 2013 15:24:50
%S 0,1,6,3003,23206929840,61218182743304701891431482520
%N Binomial coefficient binomial(F(n+1)*F(n),F(n)*F(n-1)-1), where F(n) = Fibonacci number. A090162 is the bisection (shifted by 1) of this sequence.
%e a(3) = binomial(3*2,2*1-1) = binomial(6,1) = 6.
%Y Cf. A001906, A090162.
%K nonn
%O 1,3
%A _Greg Huber_, Feb 04 2006