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A234169 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant stress 1X1 tilings) 8
136, 766, 766, 4296, 4970, 4296, 24158, 32070, 32070, 24158, 135752, 208412, 236876, 208412, 135752, 764190, 1353986, 1773484, 1773484, 1353986, 764190, 4299592, 8846884, 13227132, 15427948, 13227132, 8846884, 4299592, 24233182, 57811490 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......136........766........4296........24158.........135752..........764190

.......766.......4970.......32070.......208412........1353986.........8846884

......4296......32070......236876......1773484.......13227132........99877680

.....24158.....208412.....1773484.....15427948......133660366......1183467658

....135752....1353986....13227132....133660366.....1337127500.....13865878254

....764190....8846884....99877680...1183467658....13865878254....171702282736

...4299592...57811490...751361300..10438586426...142146253428...2098023535022

..24233182..380032300..5729616704..94449496104..1522643238010..27538386579098

.136504392.2498158614.43493374260.849993735464.16046511409532.353610525268640

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) +41*a(n-2) -132*a(n-3) -264*a(n-4)

k=2: [order 17]

k=3: [order 80]

EXAMPLE

Some solutions for n=2 k=4

..1..4..1..2..3....1..1..0..1..3....1..3..4..3..0....0..1..3..0..3

..2..3..2..1..0....1..3..0..3..3....3..3..2..3..2....3..2..2..1..2

..4..3..0..1..2....4..4..3..4..2....1..3..4..3..4....3..4..2..3..2

CROSSREFS

Sequence in context: A076331 A183901 A270341 * A234162 A262091 A251175

Adjacent sequences:  A234166 A234167 A234168 * A234170 A234171 A234172

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 20 2013

STATUS

approved

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Last modified November 30 01:58 EST 2020. Contains 338780 sequences. (Running on oeis4.)