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A234998 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 2, with no adjacent elements equal (constant stress tilted 1X1 tilings) 7
172, 916, 916, 5280, 5112, 5280, 31944, 32256, 32256, 31944, 196148, 229228, 222672, 229228, 196148, 1214044, 1687256, 1843956, 1843956, 1687256, 1214044, 7532324, 12776172, 16100096, 19087908, 16100096, 12776172, 7532324, 46791008, 97629440 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......172........916.........5280.........31944.........196148........1214044

.......916.......5112........32256........229228........1687256.......12776172

......5280......32256.......222672.......1843956.......16100096......147975544

.....31944.....229228......1843956......19087908......208674708.....2489486392

....196148....1687256.....16100096.....208674708.....2873152132....44177186020

...1214044...12776172....147975544....2489486392....44177186020...914013128196

...7532324...97629440...1383273540...30119101476...691899662624.19044109453960

..46791008..752520988..13136508448..376753198536.11285218344244

.290776568.5824747252.125711250208.4734900474112

LINKS

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

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 10]

k=2: [order 49]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Sequence in context: A043387 A246475 A202641 * A234992 A213992 A214115

Adjacent sequences:  A234995 A234996 A234997 * A234999 A235000 A235001

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 02 2014

STATUS

approved

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Last modified May 21 00:36 EDT 2022. Contains 353886 sequences. (Running on oeis4.)