A319730 - OEIS

A319730

Number T(n,k) of plane partitions of n into parts of exactly k sorts which are introduced in ascending order; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

1, 0, 1, 0, 3, 2, 0, 6, 11, 3, 0, 13, 48, 33, 5, 0, 24, 165, 212, 75, 7, 0, 48, 573, 1253, 798, 172, 11, 0, 86, 1759, 6114, 6175, 2284, 326, 15, 0, 160, 5473, 29573, 45040, 25697, 6198, 631, 22, 0, 282, 16051, 131488, 289685, 238516, 86189, 14519, 1102, 30

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OFFSET

0,5

LINKS

Alois P. Heinz, Rows n = 0..50, flattened

Eric Weisstein's World of Mathematics, Plane partition

Wikipedia, Plane partition

FORMULA

T(n,k) = 1/k! * A319600(n,k).

EXAMPLE

Triangle T(n,k) begins:

0, 1;