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A235856 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median equal to the lower median in every 2X2 subblock 7
100, 688, 688, 4524, 9600, 4524, 30624, 121244, 121244, 30624, 203804, 1629216, 2848572, 1629216, 203804, 1370656, 21301696, 73075844, 73075844, 21301696, 1370656, 9159084, 283036828, 1811192156, 3725170008, 1811192156, 283036828 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......100.........688...........4524.............30624...............203804

......688........9600.........121244...........1629216.............21301696

.....4524......121244........2848572..........73075844...........1811192156

....30624.....1629216.......73075844........3725170008.........181155460364

...203804....21301696.....1811192156......181155460364.......17118907645314

..1370656...283036828....45872598284.....9088092971636.....1681785844690652

..9159084..3731137160..1149967012292...449721286329228...162539090628898856

.61448672.49409402632.29010506163148.22443371269251304.15873176185179453176

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..111

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +37*a(n-2) -10*a(n-3) -200*a(n-4) +128*a(n-5)

k=2: [order 13]

k=3: [order 43]

EXAMPLE

Some solutions for n=2 k=4

..0..2..1..1..2....0..0..3..0..0....0..2..0..3..3....0..0..0..1..0

..1..1..1..0..1....1..0..0..0..0....2..2..3..3..3....0..0..1..1..3

..3..1..3..1..2....0..0..0..0..2....2..3..3..3..2....0..1..1..2..2

CROSSREFS

Sequence in context: A231046 A250707 A250708 * A235850 A264539 A233635

Adjacent sequences:  A235853 A235854 A235855 * A235857 A235858 A235859

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 16 2014

STATUS

approved

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Last modified July 24 14:43 EDT 2021. Contains 346273 sequences. (Running on oeis4.)