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%I #18 Dec 08 2020 08:35:22
%S 1,1,1,4,4,4,4,16,144,144,144,576,576,576,576,9216,9216,82944,82944,
%T 331776,331776,331776,331776,1327104,33177600,33177600,298598400,
%U 1194393600,1194393600,1194393600,1194393600,19110297600,19110297600,19110297600,19110297600
%N Square-factorial numbers: a(1) = 1, a(n+1) = a(n) * largest square divisor of (n+1).
%C Complementary to A048803 which can be defined as squarefree factorials.
%C Partial products of A008833. - _Ray Chandler_, Nov 29 2004
%H Amiram Eldar, <a href="/A100777/b100777.txt">Table of n, a(n) for n = 1..2135</a>
%t f[p_, e_] := p^(2*Floor[e/2]); s[n_] := Times @@ (f @@@ FactorInteger[n]); FoldList[Times, 1, Array[s, 31, 2]] (* _Amiram Eldar_, Dec 07 2020 *)
%Y Cf. A008833, A048803.
%K easy,nonn
%O 1,4
%A _Amarnath Murthy_, Nov 28 2004
%E More terms from _Amiram Eldar_, Dec 07 2020
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