%I #6 Aug 23 2014 11:13:14
%S 1,6,504,65813284680,
%T 1234718152224069224489356305213161520251951242625962440
%N a(1) = 1, a(n) = product of n successive numbers starting with a(n-1) + 1.
%C a(6) has 325 digits and a(7) has 2272 digits. - _Harvey P. Dale_, Aug 23 2014
%F a(n+1) = !{a(n)+n +1}/!{a(n)}
%e a(2) = 2*3 = 6, a(3) = 7*8*9 = 504.
%t nxt[{n_,a_}]:={n+1,Times@@Range[a+1,a+1+n]}; Transpose[NestList[nxt,{1,1},5]][[2]] (* _Harvey P. Dale_, Aug 23 2014 *)
%Y Cf. A103519.
%K easy,nonn
%O 1,2
%A _Amarnath Murthy_, Feb 10 2005
%E More terms from _Olaf Voß_, Feb 26 2005. (The next term is too large to include.)