A234333 T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).

80, 432, 432, 2368, 3296, 2368, 13056, 25728, 25728, 13056, 71936, 203008, 287888, 203008, 71936, 397056, 1603680, 3271560, 3271560, 1603680, 397056, 2188288, 12713312, 37234216, 53812604, 37234216, 12713312, 2188288, 12079104, 100679584

Offset

1,1

Comments

Table starts

80 432 2368 13056 71936 397056

432 3296 25728 203008 1603680 12713312

2368 25728 287888 3271560 37234216 425662432

13056 203008 3271560 53812604 886832036 14698619604

71936 1603680 37234216 886832036 21167182224 508700005648

397056 12713312 425662432 14698619604 508700005648 17748461638244

2188288 100679584 4858165384 243143542208 12196560180032 617580751794644

12079104 799588512 55631535036 4038567639984 293794019734704 21603778650646796

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Formula

Empirical for column k:

k=1: a(n) = 32*a(n-2) -48*a(n-4).

k=2: [order 11].

k=3: [order 48].

Example

Some solutions for n=2, k=4:
  2 0 1 2 3      0 0 0 2 3      0 2 1 1 0      0 0 1 3 3
  2 1 1 1 1      2 1 0 3 3      2 3 3 2 2      1 0 0 1 2
  2 2 1 2 1      2 2 0 2 3      0 2 1 1 0      2 0 1 1 1

Crossrefs

Sequence in context: A045666 A045657 A273292 * A234326 A085774 A233353

Adjacent sequences: A234330 A234331 A234332 * A234334 A234335 A234336

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 23 2013

Status

approved