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A274763 Number of linear extensions of the one-level grid poset G[(1^n), (1^(n-1)), (0^(n-1))]. 2
1, 10, 215, 7200, 328090, 18914190, 1318595475, 107813147200, 10112867995550, 1070215246700100, 126122386636230944, 16378717184245442560, 2323753119238888095744, 357594668486650176208896, 59323244552378855471448064 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..15.

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.

CROSSREFS

Cf. A000108, A274644.

Sequence in context: A211912 A213788 A278125 * A002967 A243476 A259189

Adjacent sequences:  A274760 A274761 A274762 * A274764 A274765 A274766

KEYWORD

nonn

AUTHOR

Ran Pan, Jul 05 2016

STATUS

approved

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Last modified September 26 05:09 EDT 2017. Contains 292502 sequences.