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A234998 T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 02 2014
STATUS
approved

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Last modified May 28 15:12 EDT 2024. Contains 372916 sequences. (Running on oeis4.)