A202939 T(n,k)=Number of (n+3)X(k+3) binary arrays with consecutive windows of four bits considered as a binary number nondecreasing in every row and column

65536, 83521, 83521, 104976, 113856, 104976, 130321, 153874, 153874, 130321, 160000, 206145, 225858, 206145, 160000, 194481, 273683, 330853, 330853, 273683, 194481, 234256, 359970, 481798, 533832, 481798, 359970, 234256, 279841, 468980

Offset

1,1

Comments

Table starts

..65536..83521..104976..130321...160000...194481....234256....279841....331776

..83521.113856..153874..206145...273683...359970....468980....605203....773669

.104976.153874..225858..330853...481798...695114....991196...1394929...1936228

.130321.206145..330853..533832...857408..1360328...2121734...3245653...4866027

.160000.273683..481798..857408..1515902..2631416...4457228...7350643..11802908

.194481.359970..695114.1360328..2631416..4958318...9044252..15949741..27226555

.234256.468980..991196.2121734..4457228..9044252..17632598..33032581..59606286

.279841.605203.1394929.3245653..7350643.15949741..33032581..65399112.124211368

.331776.773669.1936228.4866027.11802908.27226555..59606286.124211368.247473102

.390625.979972.2650602.7152307.18474721.45087162.103928266.227205936.473559376

Links

R. H. Hardin, Table of n, a(n) for n = 1..7806

Formula

Empirical: column k is a polynomial in n of degree k+3

Example

Some solutions for n=2 k=3
..0..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..0..1....0..0..0..0..0..0
..0..0..0..1..1..0....0..0..1..1..0..1....0..0..1..1..0..1....0..0..1..0..0..0
..0..0..1..0..0..0....0..0..1..1..0..1....0..0..0..0..0..1....0..0..0..1..1..0
..0..0..0..1..0..1....0..1..1..1..1..1....0..0..0..1..0..1....0..1..1..1..1..1
..0..0..1..0..1..0....0..0..0..0..0..1....0..0..1..1..0..1....0..0..0..1..0..1

Crossrefs

Column 1 is A000583(n+15)

Sequence in context: A188097 A223602 A223695 * A069277 A202932 A258737

Adjacent sequences: A202936 A202937 A202938 * A202940 A202941 A202942

Keyword

nonn,tabl

Author

R. H. Hardin Dec 26 2011

Status

approved