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

1,1

Comments

Column 3 of A223742

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

Example

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

Crossrefs

Sequence in context: A223642 A207744 A207721 * A223635 A223720 A223667

Adjacent sequences: A223734 A223735 A223736 * A223738 A223739 A223740

Keyword

nonn

Author

R. H. Hardin Mar 26 2013

Status

approved