A274645 -id:A274645 - cp's OEIS frontend

A274646 Number of linear extensions of the one-level grid poset G[(3^n), (0^(n-1)), (0^(n-1))].

1, 70, 26599, 29609650, 72574079902, 332014782982540, 2545213373338499072, 30302687687176712355840, 529556871638491591748878336, 13004213964445490176628310933504, 433440210434110194677894532074307584

Offset: 1

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Ran Pan, Jun 30 2016

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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).

Ran Pan, Problem 1, Project P.
Ran Pan, Algorithmic Solution to Problem 1 (and linear extensions of general one-level grid-like posets), Project P.

Cf. A000108, A274644, A274645.

cp's OEIS Frontend

A274646 Number of linear extensions of the one-level grid poset G[(3^n), (0^(n-1)), (0^(n-1))].

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