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a(n) is the number of distinct values of Product_{i=1..r} x_i!, where (x_1, ..., x_r) is an r-tuple of nonnegative integers with Sum_{i=1..r} i*x_i = n.
1

%I #9 Jan 07 2021 01:19:59

%S 1,2,2,3,4,6,7,10,12,14,16,21,23,28,32,39,44,52,59,69,79,89,96,112,

%T 124,144,154,177,190,219,237,264,288,322,344,398,421,471,505,558,598,

%U 672,711,787,842,930,975,1081,1149,1248,1335,1453,1533,1676,1768,1933,2046

%N a(n) is the number of distinct values of Product_{i=1..r} x_i!, where (x_1, ..., x_r) is an r-tuple of nonnegative integers with Sum_{i=1..r} i*x_i = n.

%Y Cf. A102462, A102463.

%K nonn

%O 1,2

%A _Vladeta Jovovic_, Feb 23 2005

%E More terms from _David Wasserman_, Apr 11 2008