The first, 25, terms of the sequence enumerating integer partitions of n avoi\
ding the set of patterns
{[a, a, a], [a, a, a - 1]}
are
[1, 2, 2, 4, 4, 6, 9, 11, 13, 18, 23, 30, 35, 44, 54, 69, 84, 101, 121, 147,
175, 213, 256, 303, 356]
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This took, 25.523, seconds.