%I #7 Feb 23 2023 16:58:37
%S 1,1,1,1,2,3,5,11,37,166,1237,19749,936055,179814643,240916863586,
%T 4926183534613279,4654499108310829164143,
%U 838133896191338105830469104443,201943518452400520392903690464302135967495,994814736615560793049792416556718062880283217474796953454
%N a(1) = a(2) = a(3) = a(4) = 1. For n>= 5, a(n) = a(n-1)*a(n-4) + a(n-2)*a(n-3).
%t nxt[{a_,b_,c_,d_}]:={b,c,d,a*d+b*c}; NestList[nxt,{1,1,1,1},20][[;;,1]] (* _Harvey P. Dale_, Feb 23 2023 *)
%o (PARI) a(n)=if(n<5,1,a(n-1)*a(n-4) + a(n-2)*a(n-3)) (Klasen)
%K easy,nonn
%O 1,5
%A _Leroy Quet_, Nov 01 2005
%E More terms from Lambert Klasen (lambert.klasen(AT)gmx.net), Nov 06 2005