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

1,1

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

Links

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

Formula

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

Example

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

Crossrefs

Column 1 is A000124

Column 2 is A086601

Sequence in context: A237859 A240338 A227103 * A223637 A223620 A227679

Adjacent sequences: A223641 A223642 A223643 * A223645 A223646 A223647

Keyword

nonn,tabl

Author

R. H. Hardin Mar 24 2013

Status

approved