

A274646


Number of linear extensions of the onelevel grid poset G[(3^n), (0^(n1)), (0^(n1))].


0



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

1,2


COMMENTS

The definition of a onelevel grid poset can be found in the Pan links. The number of linear extensions of onelevel grid poset G[(0^n), (0^(n1)), (0^(n1))] is given by Catalan number A000108(n), the number of linear extensions of the onelevel grid poset G[(1^n), (0^(n1)), (0^(n1))] is given by A274644(n) and number of linear extensions of the onelevel grid poset G[(2^n), (0^(n1)), (0^(n1))] is given by A274645(n).


LINKS

Table of n, a(n) for n=1..11.
Ran Pan, Problem 1, Project P.
Ran Pan, Algorithmic Solution to Problem 1 (and linear extensions of general onelevel gridlike posets), Project P.


CROSSREFS

Cf. A000108, A274644, A274645.
Sequence in context: A177637 A145410 A177638 * A005983 A200313 A177642
Adjacent sequences: A274643 A274644 A274645 * A274647 A274648 A274649


KEYWORD

nonn


AUTHOR

Ran Pan, Jun 30 2016


STATUS

approved



