A319731 Number of plane partitions of n into parts of sorts {1, 2, ... } which are introduced in ascending order.

1, 1, 5, 20, 99, 483, 2855, 16759, 112794, 777862, 5864191, 45388575, 381557427, 3265488790, 29815712658, 279926300139, 2762328453142, 27952237049003, 296275051753578, 3212312177119572, 36258222471852860, 419025393587012853, 5010022284030897550

Offset: 0

Author

Alois P. Heinz, Sep 26 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..50
• Eric Weisstein's World of Mathematics, Plane partition
• Wikipedia, Plane partition

Crossrefs

Row sums of A319730.

Cf. A258466.

Formula

a(n) = Sum_{k=0..n} A319730(n,k).