A238072 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1644, 1644, 10700, 16116, 10700, 67056, 157404, 157404, 67056, 438768, 1499348, 2296588, 1499348, 438768, 2752364, 14168952, 27034844, 27034844, 14168952, 2752364, 17963540, 135441648, 363809888, 506608980, 363809888

Offset

1,1

Comments

Table starts

........256..........1644...........10700.............67056..............438768

.......1644.........16116..........157404...........1499348............14168952

......10700........157404.........2296588..........27034844...........363809888

......67056.......1499348........27034844.........506608980.........10213967484

.....438768......14168952.......363809888.......10213967484........323819924384

....2752364.....135441648......4856507148......209604948500.......9500262069216

...17963540....1301417096.....69678083388.....4182799295184.....300828077426994

..112686608...12431472388....867711409148....82645994204968....9035028981379256

..736140896..118450899788..11916017498904..1667663702267092..288763387135691996

.4617797164.1132038063428.155815394620052.34042629929788000.8588440332702563980

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Formula

Empirical for column k:

k=1: a(n) = 23*a(n-2) +689*a(n-4) +1889*a(n-6) +1784*a(n-8) +512*a(n-10) for n>13

k=2: [order 20] for n>24

k=3: [order 60] for n>63

Example

Some solutions for n=2 k=4
..1..0..1..0..3....0..1..0..0..3....1..1..2..2..0....1..1..2..0..2
..2..0..1..2..0....2..1..0..2..1....1..0..2..1..2....2..1..3..1..0
..3..1..2..1..1....2..2..0..3..3....2..2..3..1..1....2..0..2..3..0

Crossrefs

Sequence in context: A238148 A237927 A237922 * A238065 A237538 A237532

Adjacent sequences: A238069 A238070 A238071 * A238073 A238074 A238075

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 17 2014

Status

approved