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).

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

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