

A223737


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


1



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



