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A237463 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one 9
81, 308, 308, 1144, 1376, 1144, 4272, 5938, 5938, 4272, 16280, 25974, 27915, 25974, 16280, 61152, 113324, 125998, 125998, 113324, 61152, 231680, 496942, 578435, 594190, 578435, 496942, 231680, 869120, 2183186, 2683716, 2864838, 2864838 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......81.......308.......1144.......4272.......16280........61152

......308......1376.......5938......25974......113324.......496942

.....1144......5938......27915.....125998......578435......2683716

.....4272.....25974.....125998.....594190.....2864838.....14469792

....16280....113324.....578435....2864838....14411725.....76965324

....61152....496942....2683716...14469792....76965324....459648432

...231680...2183186...12536462...71637702...395458926...2568519258

...869120...9577336...57585440..345945382..1940632168..13683327428

..3299584..41971324..267621076.1692387998..9857379954..75596096370

.12382208.184102474.1237416868.8423481016.51307932252.437088214352

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = 136*a(n-4) +832*a(n-6) +1600*a(n-8) +1024*a(n-10)

k=2: [order 19]

k=3: [order 70] for n>73

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A206270 A236011 A206678 * A237456 A183994 A237703

Adjacent sequences:  A237460 A237461 A237462 * A237464 A237465 A237466

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 08 2014

STATUS

approved

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Last modified May 23 23:53 EDT 2022. Contains 353993 sequences. (Running on oeis4.)