A223737 Number of nX3 0..2 arrays with rows, columns, diagonals and antidiagonals unimodal.

22, 484, 5600, 42090, 237088, 1082738, 4207089, 14362171, 44066468, 123591226, 321014080, 780210492, 1789329904, 3899021174, 8119048135, 16234703963, 31301451138, 58398476624, 105750499888, 186363500950, 320365509352

Offset: 1

Author

R. H. Hardin Mar 26 2013

Keywords

• nonn

Comments

Column 3 of A223742

Examples

			Some solutions for n=3
..1..0..0....2..1..1....1..0..0....2..2..0....0..2..0....0..1..2....1..1..0
..1..0..0....2..2..0....0..1..1....0..2..2....0..2..2....0..1..0....0..0..0
..1..1..0....2..0..0....0..0..0....0..0..0....2..1..0....0..0..0....0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = (5051/239500800)*n^12 + (9539/39916800)*n^11 + (75941/21772800)*n^10 + (79/3840)*n^9 + (160763/1036800)*n^8 + (647089/1209600)*n^7 + (42743903/21772800)*n^6 + (1895941/725760)*n^5 + (37871509/5443200)*n^4 + (109751/43200)*n^3 + (125047/14850)*n^2 - (14101/1155)*n + 11