A319601 Number of plane partitions of n into parts of sorts {1, 2, ... }.

1, 1, 7, 46, 427, 4266, 56424, 772888, 12882984, 226946552, 4546150566, 95857685949, 2267911223257, 55671787777419, 1496799152925925, 42138629446101195, 1273072014409479719, 40078261700215782164, 1346081462070844724125, 46899893904515009262290

Offset

0,3

Comments

All sorts up to the highest have to be present.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..50

Eric Weisstein's World of Mathematics, Plane partition

Wikipedia, Plane partition

Formula

a(n) = Sum_{k=0..n} A319600(n,k).

Crossrefs

Row sums of A319600.

Cf. A000219.

Sequence in context: A356827 A178962 A203267 * A352693 A377767 A197754

Adjacent sequences: A319598 A319599 A319600 * A319602 A319603 A319604

Keyword

nonn,changed

Author

Alois P. Heinz, Sep 24 2018

Status

approved