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A236009 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2X2 subblock 7
88, 508, 508, 2960, 4568, 2960, 17464, 41608, 41608, 17464, 104112, 389520, 587908, 389520, 104112, 626480, 3726296, 8623452, 8623452, 3726296, 626480, 3800832, 36383144, 130105204, 199639388, 130105204, 36383144, 3800832, 23225504 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

........88..........508............2960.............17464.............104112

.......508.........4568...........41608............389520............3726296

......2960........41608..........587908...........8623452..........130105204

.....17464.......389520.........8623452.........199639388.........4771399876

....104112......3726296.......130105204........4771399876.......180674993788

....626480.....36383144......2020106076......118118574840......7110978545588

...3800832....361779592.....32207456576.....3024782577128....290996000638180

..23225504...3655701448....526051660468....79996751200984..12382726107599896

.142804544..37454598528...8776747793696..2178566815760276.546785387722649512

.882709824.388247972432.149126416376292.60872444688621924

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..97

FORMULA

Empirical for column k:

k=1: a(n) = 16*a(n-1) -86*a(n-2) +156*a(n-3) +48*a(n-4) -256*a(n-5) -64*a(n-6)

k=2: [order 17]

k=3: [order 70]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Sequence in context: A052049 A046378 A187176 * A236003 A183839 A297228

Adjacent sequences:  A236006 A236007 A236008 * A236010 A236011 A236012

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 18 2014

STATUS

approved

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Last modified January 26 14:30 EST 2021. Contains 340439 sequences. (Running on oeis4.)