A224409 T(n,k)=Number of nXk 0..1 arrays with rows unimodal and antidiagonals nondecreasing.

2, 4, 4, 7, 12, 8, 11, 28, 36, 16, 16, 56, 100, 108, 32, 22, 101, 228, 358, 324, 64, 29, 169, 465, 884, 1288, 972, 128, 37, 267, 879, 1928, 3436, 4636, 2916, 256, 46, 403, 1568, 3902, 7812, 13440, 16684, 8748, 512, 56, 586, 2668, 7490, 16420, 31710, 52700, 60040

Offset: 1

Author

R. H. Hardin Apr 05 2013

Keywords

• nonn
• tabl

Comments

Table starts

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

....4....12.....28......56.....101......169......267......403.......586

....8....36....100.....228.....465......879.....1568.....2668......4362

...16...108....358.....884....1928.....3902.....7490....13784.....24467

...32...324...1288....3436....7812....16420....32814....63202....118117

...64...972...4636...13440...31710....68282...139638...275766....530583

..128..2916..16684...52700..129402...284254...590254..1183226...2313915

..256..8748..60040..206708..529846..1187830..2496332..5055858...9988498

..512.26244.216064..810664.2172346..4979464.10583872.21606456..42996954

.1024.78732.777544.3178940.8908986.20913026.44986080.92478100.185065944

Examples

			Some solutions for n=3 k=4
..0..0..0..0....0..1..0..0....0..0..1..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..0..0..0
..1..1..1..0....0..0..1..1....1..1..1..1....1..1..1..1....0..0..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..2445

Crossrefs

Column 1 is A000079

Column 2 is A003946

Row 1 is A000124

Row 2 is A223764

Formula

Empirical: columns k=1..7 have recurrences of order 1,1,3,4,5,6,7 for n>0,0,0,0,0,7,8

Empirical: rows n=1..7 are polynomials of degree 2*n for k>0,0,0,2,3,4,5