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

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

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