%I #7 Aug 27 2017 13:42:49
%S 1,2,4,16,88,632,5552,57824,695776,9500128,145097152,2451080192,
%T 45373649024,913400022656,19865889564928,464227147597312,
%U 11599471170191872,308605525316616704,8709955613991289856,259922447412719218688,8177253768239405504512
%N a(0)=1, a(1)=2, thereafter a(n) = n*a(n-1)+(n-1)*(n-2)*a(n-2).
%p f:=proc(n) option remember;
%p if n <= 1 then n+1 else
%p n*f(n-1)+(n-1)*(n-2)*f(n-2); fi; end;
%p [seq(f(n),n=0..40)];
%Y A244430 and A291287 have the same recurrence.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Aug 27 2017