A186840 T(n,k)=Number of (n+2)X(k+2) binary arrays with 3X3 subblock sums nondecreasing rightwards and downwards.

512, 2688, 2688, 14112, 19904, 14112, 74088, 147428, 147428, 74088, 324576, 1075071, 1537476, 1075071, 324576, 1421952, 6019798, 15478835, 15478835, 6019798, 1421952, 6229504, 33731024, 111211414, 209888936, 111211414, 33731024

Offset

1,1

Comments

Table starts

.......512........2688........14112.........74088........324576.......1421952

......2688.......19904.......147428.......1075071.......6019798......33731024

.....14112......147428......1537476......15478835.....111211414.....798816802

.....74088.....1075071.....15478835.....209888936....1919555447...17494747887

....324576.....6019798....111211414....1919555447...21242244160..235234097572

...1421952....33731024....798816802...17494747887..235234097572.3176962520030

...6229504...188814612...5699887192..156721188699.2571152951156

..24748736...897952936..32614678623.1078797163411

..98322424..4272342678.186554693948

.390617891.20338694068

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for 5X4
..0..1..0..1....0..0..1..1....0..1..1..0....0..0..0..0....0..0..0..0
..1..1..0..1....0..1..0..1....0..1..0..0....0..1..1..0....0..0..0..1
..0..1..0..0....0..1..1..0....0..0..0..1....1..0..1..1....0..1..0..1
..0..1..1..0....1..1..1..1....1..1..1..1....0..0..1..1....1..0..1..1
..1..1..0..1....1..1..0..1....1..0..1..1....1..0..1..1....0..0..0..1

Crossrefs

Sequence in context: A258511 A254998 A254991 * A224643 A186832 A254553

Adjacent sequences: A186837 A186838 A186839 * A186841 A186842 A186843

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 27 2011

Status

approved