A336229 Nonisomorphic n-element posets whose order polynomial factors into linear factors over the rationals.

1, 2, 5, 14, 31, 111, 257, 624

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