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A274646
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Number of linear extensions of the one-level grid poset G[(3^n), (0^(n-1)), (0^(n-1))].
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0
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1, 70, 26599, 29609650, 72574079902, 332014782982540, 2545213373338499072, 30302687687176712355840, 529556871638491591748878336, 13004213964445490176628310933504, 433440210434110194677894532074307584
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OFFSET
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1,2
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COMMENTS
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The definition of a one-level grid poset can be found in the Pan links. The number of linear extensions of one-level grid poset G[(0^n), (0^(n-1)), (0^(n-1))] is given by Catalan number A000108(n), the number of linear extensions of the one-level grid poset G[(1^n), (0^(n-1)), (0^(n-1))] is given by A274644(n) and number of linear extensions of the one-level grid poset G[(2^n), (0^(n-1)), (0^(n-1))] is given by A274645(n).
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LINKS
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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