A223644 T(n,k)=Number of nXk 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal.

2, 4, 4, 7, 16, 7, 11, 49, 49, 11, 16, 121, 218, 121, 16, 22, 256, 726, 726, 256, 22, 29, 484, 2014, 2962, 2014, 484, 29, 37, 841, 4904, 9808, 9808, 4904, 841, 37, 46, 1369, 10797, 28450, 36947, 28450, 10797, 1369, 46, 56, 2116, 21917, 74599, 120307, 120307, 74599

Offset: 1

Author

R. H. Hardin Mar 24 2013

Keywords

• nonn
• tabl

Comments

Table starts

..2....4.....7.....11......16.......22........29........37.........46

..4...16....49....121.....256......484.......841......1369.......2116

..7...49...218....726....2014.....4904.....10797.....21917......41601

.11..121...726...2962....9808....28450.....74599....179991.....404599

.16..256..2014...9808...36947...120307....354726....967582....2469396

.22..484..4904..28450..120307...428187...1370104...4063584...11337648

.29..841.10797..74599..354726..1370104...4682514..14767708...43862845

.37.1369.21917.179991..967582..4063584..14767708..49045356..152945545

.46.2116.41601.404599.2469396.11337648..43862845.152945545..497721760

.56.3136.74635.855417.5941152.29980136.124004457.454159399.1539486460

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..199

Crossrefs

Column 1 is A000124

Column 2 is A086601

Formula

Empirical: Columns 1..7 are polynomials of degree 2*k for n > 0,0,0,4,7,13,19