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A336229 Nonisomorphic n-element posets whose order polynomial factors into linear factors over the rationals. 1
1, 2, 5, 14, 31, 111, 257, 624 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..8.

Sam Hopkins, Order polynomial product formulas and poset dynamics, arXiv 2006.01568 [math.CO], 2020.

MathOverflow, Unified framework for posets with order polynomial product formulas, 2019.

EXAMPLE

For n <= 3 all posets are counted.

CROSSREFS

Sequence in context: A026011 A212393 A056358 * A296502 A036681 A125615

Adjacent sequences:  A336226 A336227 A336228 * A336230 A336231 A336232

KEYWORD

nonn,more

AUTHOR

Richard Stanley, Jul 12 2020

STATUS

approved

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Last modified October 19 16:25 EDT 2021. Contains 348091 sequences. (Running on oeis4.)