A235078 T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

288, 1828, 1828, 11976, 12228, 11976, 79848, 86704, 86704, 79848, 534008, 644188, 676192, 644188, 534008, 3577048, 4832976, 5686836, 5686836, 4832976, 3577048, 23966856, 36598068, 48272960, 55735596, 48272960, 36598068, 23966856

Offset

1,1

Comments

Table starts

288 1828 11976 79848 534008

1828 12228 86704 644188 4832976

11976 86704 676192 5686836 48272960

79848 644188 5686836 55735596 552618120

534008 4832976 48272960 552618120 6369625168

3577048 36598068 417137872 5629225056 76480296484

23966856 278216484 3604917936 57334595276 910186153752

160608008 2124989472 31461207572 593260934340 11128033519340

1076281720 16281513720 274289989296 6129703359580

7212695512 125246817248 2412618175328

Links

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

Formula

Empirical for column k:

k=1: a(n) = 61*a(n-2) -813*a(n-4) +4271*a(n-6) -9694*a(n-8) +8264*a(n-10) -1536*a(n-12).

k=2: [order 73].

Example

Some solutions for n=2, k=4:
  4 7 2 0 4      2 3 2 6 2      6 4 0 4 2      6 4 0 2 0
  0 6 4 5 6      0 4 6 7 6      4 5 4 5 0      2 3 2 7 2
  4 7 2 6 4      2 3 2 0 2      0 4 0 4 2      4 2 4 6 4

Crossrefs

Sequence in context: A250871 A128392 A296784 * A235072 A235769 A049230

Adjacent sequences: A235075 A235076 A235077 * A235079 A235080 A235081

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 03 2014

Status

approved