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A235981 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median equal to the lower median in every 2X2 subblock 9
39, 181, 181, 815, 1473, 815, 3741, 11239, 11239, 3741, 16999, 89555, 143183, 89555, 16999, 77701, 703565, 1947197, 1947197, 703565, 77701, 354015, 5579529, 26090277, 46727365, 26090277, 5579529, 354015, 1615917, 44112111, 354374671, 1101519021 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......39.........181............815.............3741...............16999

......181........1473..........11239............89555..............703565

......815.......11239.........143183..........1947197............26090277

.....3741.......89555........1947197.........46727365..........1101519021

....16999......703565.......26090277.......1101519021.........45610599689

....77701.....5579529......354374671......26513929449.......1940827721603

...354015....44112111.....4798700327.....636000634655......82270776987717

..1615917...349456139....65170792525...15322368309233....3506876818446715

..7368343..2766556005...884485021717..368889441554023..149366054184193657

.33618069.21911565169.12011793919475.8889119296332995.6369053509470841885

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) +7*a(n-2) -22*a(n-3) +8*a(n-4)

k=2: [order 9]

k=3: [order 22]

k=4: [order 61]

EXAMPLE

Some solutions for n=3 k=4

..0..0..0..0..1....0..0..1..0..0....0..0..0..1..0....0..0..0..0..0

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

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

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

CROSSREFS

Sequence in context: A105838 A251335 A251328 * A235974 A258095 A193228

Adjacent sequences:  A235978 A235979 A235980 * A235982 A235983 A235984

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 17 2014

STATUS

approved

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Last modified April 25 16:08 EDT 2019. Contains 322461 sequences. (Running on oeis4.)