A235212 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 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

240, 1172, 1172, 5696, 4616, 5696, 27812, 18444, 18444, 27812, 135520, 76112, 61160, 76112, 135520, 662892, 319156, 215996, 215996, 319156, 662892, 3236288, 1374400, 781040, 672256, 781040, 1374400, 3236288, 15860868, 5998924, 2971196, 2154516

Offset

1,1

Comments

Table starts

240 1172 5696 27812 135520 662892 3236288

1172 4616 18444 76112 319156 1374400 5998924

5696 18444 61160 215996 781040 2971196 11553392

27812 76112 215996 672256 2154516 7402144 26061700

135520 319156 781040 2154516 6122960 19043548 60655008

662892 1374400 2971196 7402144 19043548 54586424 160144012

3236288 5998924 11553392 26061700 60655008 160144012 432038320

15860868 26765648 46833260 96901472 207093844 509661968 1282142052

77573344 120643572 193465560 368028508 721977376 1652364332 3864421920

380902284 553515168 826218532 1459917480 2659371660 5703493096 12517909388

Links

R. H. Hardin, Table of n, a(n) for n = 1..142

Formula

Empirical for column k:

k=1: a(n) = 3*a(n-1) +35*a(n-2) -81*a(n-3) -264*a(n-4) +144*a(n-5) +384*a(n-6).

k=2: [order 29].

k=3: [order 62].

Example

Some solutions for n=3, k=4:
  2 6 2 0 1     0 4 7 4 7     2 1 3 5 1     0 3 6 4 0
  3 2 3 6 2     3 2 0 2 0     6 0 7 4 5     4 2 0 3 4
  2 6 2 0 1     0 4 7 4 7     3 2 4 6 2     0 3 6 4 0
  1 0 1 4 0     6 5 3 5 3     2 6 3 0 1     6 4 2 5 6

Crossrefs

Sequence in context: A158562 A234728 A234721 * A235205 A233878 A157766

Adjacent sequences: A235209 A235210 A235211 * A235213 A235214 A235215

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 04 2014

Status

approved