A234549 T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).

208, 1212, 1212, 7056, 6896, 7056, 41112, 39188, 39188, 41112, 239648, 222988, 217304, 222988, 239648, 1397712, 1269812, 1207448, 1207448, 1269812, 1397712, 8156096, 7237508, 6716768, 6556488, 6716768, 7237508, 8156096, 47619552

Offset

1,1

Comments

Table starts

208 1212 7056 41112 239648 1397712

1212 6896 39188 222988 1269812 7237508

7056 39188 217304 1207448 6716768 37416120

41112 222988 1207448 6556488 35656244 194284128

239648 1269812 6716768 35656244 189641952 1011141204

1397712 7237508 37416120 194284128 1011141204 5278556248

8156096 41285540 208681224 1060310544 5401882616 27621051428

47619552 235717236 1165446648 5797286912 28926522000

278172288 1346930052 6516597192 31746284736

1625861952 7703391252 36485687312

Links

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

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-1) +34*a(n-2) -204*a(n-3) -40*a(n-4) +240*a(n-5).

k=2: [order 15].

k=3: [order 49].

Example

Some solutions for n=2, k=4:
  0 4 0 5 0      0 3 2 4 4      0 2 5 5 3      3 4 1 5 0
  1 2 1 3 1      5 5 1 0 3      3 2 2 5 0      4 2 2 3 1
  4 2 4 3 4      4 1 0 2 2      5 1 4 4 2      1 2 5 3 4

Crossrefs

Sequence in context: A255082 A255075 A304281 * A234543 A233665 A233659

Adjacent sequences: A234546 A234547 A234548 * A234550 A234551 A234552

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 28 2013

Status

approved