A202335 T(n,k)=Number of (n+1)X(k+1) binary arrays with consecutive windows of two bits considered as a binary number nondecreasing in every row and column.

16, 25, 25, 36, 48, 36, 49, 82, 82, 49, 64, 129, 162, 129, 64, 81, 191, 289, 289, 191, 81, 100, 270, 478, 576, 478, 270, 100, 121, 368, 746, 1052, 1052, 746, 368, 121, 144, 487, 1112, 1796, 2102, 1796, 1112, 487, 144, 169, 629, 1597, 2906, 3896, 3896, 2906, 1597

Offset: 1

Author

R. H. Hardin Dec 17 2011

Keywords

• nonn
• tabl

Comments

Table starts

..16..25...36...49....64....81....100....121....144.....169.....196.....225

..25..48...82..129...191...270....368....487....629.....796.....990....1213

..36..82..162..289...478...746...1112...1597...2224....3018....4006....5217

..49.129..289..576..1052..1796...2906...4501...6723....9739...13743...18958

..64.191..478.1052..2102..3896...6800..11299..18020...27757...41498...60454

..81.270..746.1796..3896..7790..14588..25885..43903...71658..113154..173606

.100.368.1112.2906..6800.14588..29174..55057..98958..170614..283766..457370

.121.487.1597.4501.11299.25885..55057.110112.209068..379680..663444.1120812

.144.629.2224.6723.18020.43903..98958.209068.418134..797812.1461254.2582064

.169.796.3018.9739.27757.71658.170614.379680.797812.1595622.3056874.5638936

Examples

			Some solutions for n=5 k=3
..0..0..1..0....0..0..1..0....0..0..1..0....0..0..1..0....0..0..1..1
..0..0..1..0....0..0..1..0....0..1..1..1....0..0..1..0....0..0..1..1
..0..0..1..0....0..0..1..0....0..1..1..1....0..0..1..0....0..0..1..1
..0..0..1..1....0..0..1..0....0..1..1..1....0..0..1..0....0..1..1..1
..0..0..1..1....0..0..1..0....0..1..1..1....0..0..1..0....0..1..1..1
..0..1..1..1....0..0..1..1....0..1..1..1....0..1..1..1....0..1..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..10018

Crossrefs

Column 1 is A000290(n+3)

Column 2 is A110610(n+3)