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A253294
T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 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
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 29 2014
STATUS
approved