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A234690 T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant stress 1X1 tilings) 9
232, 1148, 1148, 5472, 4416, 5472, 27344, 16580, 16580, 27344, 131200, 69336, 49480, 69336, 131200, 661952, 281612, 174320, 174320, 281612, 661952, 3196416, 1253088, 603480, 531984, 603480, 1253088, 3196416, 16276736, 5385236, 2377712, 1602224 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......232......1148......5472......27344.....131200.....661952....3196416

......1148......4416.....16580......69336.....281612....1253088....5385236

......5472.....16580.....49480.....174320.....603480....2377712....9134920

.....27344.....69336....174320.....531984....1602224....5614248...19258400

....131200....281612....603480....1602224....4224328...13220576...40731576

....661952...1253088...2377712....5614248...13220576...37361280..104366624

...3196416...5385236...9134920...19258400...40731576..104366624..265716040

..16276736..25119456..39076784...74809368..144171008..337733136..789826592

..79071232.112545548.161746392..282312464..498365320.1071197312.2311358136

.406166528.544181136.735721040.1187833176.1942449632.3852945648.7703580416

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k (column 3..5 order 29 recurrence also works for k=1..2; apparently all rows and columns satisfy the same order 29 recurrence):

k=1: a(n) = 72*a(n-2) -1712*a(n-4) +13440*a(n-6)

k=2: [order 24]

k=3..5: [same order 29]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A252273 A153466 A200870 * A234683 A238919 A327831

Adjacent sequences:  A234687 A234688 A234689 * A234691 A234692 A234693

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 29 2013

STATUS

approved

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Last modified September 18 01:39 EDT 2021. Contains 347504 sequences. (Running on oeis4.)