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

1,1

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

Links

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

Example

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

Crossrefs

Column 1 is A000290(n+3)

Column 2 is A110610(n+3)

Sequence in context: A070571 A087622 A170985 * A071524 A334392 A227651

Adjacent sequences: A202332 A202333 A202334 * A202336 A202337 A202338

Keyword

nonn,tabl

Author

R. H. Hardin Dec 17 2011

Status

approved