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A253294 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock sum differing from its neighbors horizontally, vertically, diagonally and antidiagonally 6
81, 558, 558, 3844, 3600, 3844, 26784, 23546, 23546, 26784, 186624, 167832, 140536, 167832, 186624, 1296000, 1184928, 1029888, 1029888, 1184928, 1296000, 9000000, 8243488, 7431136, 8153960, 7431136, 8243488, 9000000, 62568000, 57474376 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.........81.........558.........3844........26784.......186624......1296000

........558........3600........23546.......167832......1184928......8243488

.......3844.......23546.......140536......1029888......7431136.....52784020

......26784......167832......1029888......8153960.....61286116....465921688

.....186624.....1184928......7431136.....61286116....486417836...4028778100

....1296000.....8243488.....52784020....465921688...4028778100..36312321352

....9000000....57474376....376392916...3524494796..32585471254.317292582684

...62568000...402165016...2705942488..26879615668.268974784168

..434972736..2811886280..19441124904.204459584768

.3022785216.19648735840.139538118106

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 9]

k=2: [order 40]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Column 1 is A185771

Sequence in context: A205894 A186536 A186528 * A253164 A185777 A253482

Adjacent sequences:  A253291 A253292 A253293 * A253295 A253296 A253297

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 29 2014

STATUS

approved

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Last modified August 24 02:32 EDT 2019. Contains 326260 sequences. (Running on oeis4.)