A235175 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 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

268, 1528, 1528, 8688, 8380, 8688, 49464, 45776, 45776, 49464, 281580, 250708, 240020, 250708, 281580, 1603344, 1373616, 1264228, 1264228, 1373616, 1603344, 9129276, 7533616, 6664620, 6419300, 6664620, 7533616, 9129276, 51991032

Offset

1,1

Comments

Table starts

268 1528 8688 49464 281580 1603344

1528 8380 45776 250708 1373616 7533616

8688 45776 240020 1264228 6664620 35209872

49464 250708 1264228 6419300 32642908 166600788

281580 1373616 6664620 32642908 160169432 790073988

1603344 7533616 35209872 166600788 790073988 3773616876

9129276 41341624 186233144 851849276 3906036120 18074063004

51991032 227070556 986928332 4369637236 19401099892

296077680 1247903536 5236116224 22453582476

1686409896 6864076036 27831579620

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 9].

k=2: [order 46].

Example

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

Crossrefs

Sequence in context: A279184 A237228 A190352 * A235169 A352474 A330413

Adjacent sequences: A235172 A235173 A235174 * A235176 A235177 A235178

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 04 2014

Status

approved