%I #7 Jan 03 2024 07:05:59
%S 1,1,1,2,30,6678144,14783742920460482277828601638764478251520
%N a(1)= 1, a(n+1) = a(n)*(a(n)+1)*(a(n)+2)*...*(a(n)+n-1)/n.
%C The next term, a(8), has 281 digits. - _T. D. Noe_, Oct 25 2004
%e a(2)=1/1=1, a(3)=1*2/2=1, a(4)=1*2*3/3=2, a(5)=2*3*4*5/4=30.
%t a[1]=1; a[n_] := Times@@Range[a[n-1], a[n-1]+n-2]/(n-1); Table[a[i], {i, 7}]
%Y Cf. A091777.
%K nonn
%O 1,4
%A _Amarnath Murthy_, Feb 16 2004
%E Corrected and extended by _T. D. Noe_, Oct 25 2004