A224162 Number of 6Xn 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.

64, 972, 2935, 5657, 10562, 20065, 39037, 76393, 148637, 284937, 535211, 981957, 1757541, 3068802, 5231637, 8719051, 14227266, 22765909, 35780116, 55314683, 84233265, 126509183, 187608775, 274993564, 398773975, 572555093, 814524213

Offset: 1

Author

R. H. Hardin Mar 31 2013

Keywords

• nonn

Comments

Row 6 of A224158

Examples

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

Links

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

Formula

Empirical: a(n) = (1/479001600)*n^12 - (1/15966720)*n^11 + (127/43545600)*n^10 - (7/207360)*n^9 + (4033/2073600)*n^8 - (5443/483840)*n^7 + (13552621/43545600)*n^6 - (8448991/1451520)*n^5 + (1032695879/10886400)*n^4 - (8305531/10368)*n^3 + (67691137/14850)*n^2 - (80407927/5544)*n + 24225 for n>8