A089300 Number of planar partitions of n (A000219) that are non-squashing along rows and down columns (cf. A018819).

1, 1, 3, 4, 9, 13, 25, 33, 56, 76, 122, 170, 264, 360, 538, 707, 1002, 1332, 1853, 2409, 3294

Offset

0,3

Links

Table of n, a(n) for n=0..20.

N. J. A. Sloane and J. A. Sellers, On non-squashing partitions, Discrete Math., 294 (2005), 259-274.

Example

E.g. a(4) = 9:
4.31.3.22.2.211.21..2..11
.....1....2.....1...1..11
....................1....

Crossrefs

Cf. A000219, A000123, A018819, A008763, A001970, A089292.

Sequence in context: A326981 A124285 A131326 * A250111 A079284 A000624

Adjacent sequences: A089297 A089298 A089299 * A089301 A089302 A089303

Keyword

nonn,more

Author

N. J. A. Sloane, Dec 25 2003

Extensions

More terms from Wouter Meeussen, Dec 30 2003

Status

approved