A224394 Number of 5Xn 0..3 arrays with diagonals and antidiagonals unimodal and rows nondecreasing.

1024, 100000, 1268572, 8573507, 45648753, 211856287, 882833522, 3343528551, 11604617405, 37199618077, 110964317169, 310166468938, 817551602005, 2043560704475, 4868244723248, 11101332102787, 24326305539913

Offset: 1

Author

R. H. Hardin Apr 05 2013

Keywords

• nonn

Comments

Row 5 of A224391

Examples

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

Links

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

Formula

Empirical: a(n) = (769/444787200)*n^15 + (348923/10897286400)*n^14 + (1834741/3113510400)*n^13 + (1653961/239500800)*n^12 + (15881209/239500800)*n^11 + (3185767/4354560)*n^10 + (6331231/21772800)*n^9 + (8051546371/152409600)*n^8 - (92949613/680400)*n^7 + (29776075747/21772800)*n^6 - (235108166129/119750400)*n^5 + (1142919607439/59875200)*n^4 - (2395878032771/43243200)*n^3 + (4577919285997/37837800)*n^2 - (3999067013/10010)*n + 824171 for n>7