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A234738 T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant stress 1X1 tilings) 9
168, 672, 672, 2184, 2184, 2184, 8736, 6048, 6048, 8736, 29976, 21048, 14760, 21048, 29976, 119904, 64320, 45792, 45792, 64320, 119904, 426120, 233016, 127032, 127032, 127032, 233016, 426120, 1704480, 760608, 423072, 319488, 319488, 423072, 760608 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......168......672.....2184.....8736.....29976....119904....426120....1704480

......672.....2184.....6048....21048.....64320....233016....760608....2827992

.....2184.....6048....14760....45792....127032....423072...1283880....4481376

.....8736....21048....45792...127032....319488....972888...2723040....8836536

....29976....64320...127032...319488....737160...2072256...5395128...16400256

...119904...233016...423072...972888...2072256...5395128..13083552...37239960

...426120...760608..1283880..2723040...5395128..13083552..29705640...79520352

..1704480..2827992..4481376..8836536..16400256..37239960..79520352..200901240

..6197208..9650112.14469624.26699136..46685256..99668544.200901240..480387840

.24788832.36532344.52195488.90688728.150256320.302942136.578901408.1314864792

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..196

FORMULA

Empirical for column k (the k=2 recurrence also works for column 1; apparently every row and column satisfies the same order 23 recurrence):

k=1: a(n) = 4*a(n-1) +34*a(n-2) -136*a(n-3) -369*a(n-4) +1476*a(n-5) +1260*a(n-6) -5040*a(n-7)

k=2..6: [same order 23 recurrence]

EXAMPLE

Some solutions for n=4 k=4

..5..2..4..2..5....4..2..5..0..5....7..4..6..3..6....7..1..6..2..7

..2..7..1..7..2....1..7..2..5..2....2..7..1..6..1....1..3..0..4..1

..3..0..2..0..3....4..2..5..0..5....5..2..4..1..4....6..0..5..1..6

..1..6..0..6..1....1..7..2..5..2....1..6..0..5..0....1..3..0..4..1

..4..1..3..1..4....4..2..5..0..5....7..4..6..3..6....7..1..6..2..7

CROSSREFS

Sequence in context: A027679 A137863 A266808 * A234731 A157998 A234823

Adjacent sequences:  A234735 A234736 A234737 * A234739 A234740 A234741

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 30 2013

STATUS

approved

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Last modified July 18 07:10 EDT 2019. Contains 325134 sequences. (Running on oeis4.)