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A299294
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Number of order ideals of type e^(0)_n.
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0
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2, 4, 7, 17, 30, 80, 143, 404, 728, 2140, 3876, 11729, 21318, 65952, 120175, 378321, 690690, 2205168, 4032015, 13023324, 23841480, 77761008, 142498692
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