A236278 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median unequal to the lower median in every 2X2 subblock

42, 208, 208, 1048, 1770, 1048, 5328, 15434, 15434, 5328, 27168, 137142, 232736, 137142, 27168, 138720, 1226262, 3604782, 3604782, 1226262, 138720, 708640, 11005062, 56299040, 98027150, 56299040, 11005062, 708640, 3620768, 98896922

Offset

1,1

Comments

Table starts

.......42.........208...........1048..............5328................27168

......208........1770..........15434............137142..............1226262

.....1048.......15434.........232736...........3604782.............56299040

.....5328......137142........3604782..........98027150...........2691633954

....27168.....1226262.......56299040........2691633954.........130035577996

...138720....11005062......884625654.......74525190422........6347865358508

...708640....98896922....13930389246.....2069437793694......310963707906138

..3620768...889370642...219666732130....57582849812178....15274560591620964

.18501536..8000222410..3465756760168..1603546636521534...751073391280421888

.94542752.71974995478.54697571104400.44677821271613598.36957869813931113212

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Formula

Empirical for column k:

k=1: a(n) = 5*a(n-1) +4*a(n-2) -16*a(n-3) -8*a(n-4)

k=2: [order 9]

k=3: [order 25]

k=4: [order 65]

Example

Some solutions for n=2 k=4
..0..2..2..1..0....1..1..0..2..1....1..0..0..0..0....2..0..0..2..1
..2..1..1..2..0....0..0..1..2..1....0..1..2..2..1....1..2..1..2..0
..2..0..0..0..2....2..2..2..0..2....2..0..0..0..0....2..0..2..1..2

Crossrefs

Sequence in context: A090198 A299056 A299817 * A236271 A008446 A255424

Adjacent sequences: A236275 A236276 A236277 * A236279 A236280 A236281

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 21 2014

Status

approved