A389605 Number of chains in the poset of plane partitions ordered by inclusion that end with a plane partition of n.

1, 6, 30, 182, 1164, 8532, 66164, 556340, 4941192, 46514780

Offset

1,2

Links

Table of n, a(n) for n=1..10.

Formula

a(n) = Sum_{i=2^(n-1)..2^n-1} A379277(i).

Example

a(3) = 6 counts:
 1 1,  1,  2,  1  <  1 1,  1  <  1,  1  <  2.
       1                         1

Crossrefs

Cf. A000219, A207542, A379277, A385373, (row sums of A389604).

Sequence in context: A029571 A357599 A368524 * A259276 A109501 A386700

Adjacent sequences: A389602 A389603 A389604 * A389606 A389607 A389608

Keyword

nonn,more,hard

Author

John Tyler Rascoe, Oct 08 2025

Status

approved