A223642 Number of nX6 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal.

22, 484, 4904, 28450, 120307, 428187, 1370104, 4063584, 11337648, 29980136, 75501066, 181755554, 419574383, 931417149, 1993443114, 4122964868, 8258744026, 16054980456, 30348305906, 55882034882, 100405014805, 176305599685

Offset: 1

Author

R. H. Hardin Mar 24 2013

Keywords

• nonn

Comments

Column 6 of A223644

Examples

			Some solutions for n=4
..0..1..1..1..1..1....0..0..0..0..1..1....0..0..0..1..0..0....0..1..0..0..0..0
..1..1..1..1..1..1....0..1..1..1..1..1....1..1..1..1..1..0....1..1..1..1..0..0
..1..1..1..1..1..1....0..1..1..1..1..1....0..0..1..1..1..1....0..1..1..1..0..0
..0..0..0..1..1..0....0..0..0..0..0..0....0..0..0..0..1..0....0..1..1..0..0..0
		

Links

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

Formula

Empirical: a(n) = (271/5443200)*n^12 - (5527/1995840)*n^11 + (55709/544320)*n^10 - (179285/72576)*n^9 + (69131681/1814400)*n^8 - (2290717/10080)*n^7 - (649163341/136080)*n^6 + (54977562187/362880)*n^5 - (2886586169891/1360800)*n^4 + (1624780719439/90720)*n^3 - (17508153293/189)*n^2 + (926735309999/3465)*n - 321893740 for n>13