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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified May 30 15:01 EDT 2020. Contains 334726 sequences. (Running on oeis4.)