A235007 T(n,k) 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 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

294, 1946, 1946, 13848, 14182, 13848, 104338, 114796, 114796, 104338, 800688, 1049470, 1053414, 1049470, 800688, 6225088, 10000516, 11587376, 11587376, 10000516, 6225088, 48596088, 98790336, 134675868, 162585790, 134675868

Offset

1,1

Comments

Table starts

294 1946 13848 104338 800688 6225088

1946 14182 114796 1049470 10000516 98790336

13848 114796 1053414 11587376 134675868 1669957802

104338 1049470 11587376 162585790 2432380948 40037217640

800688 10000516 134675868 2432380948 46824470810 1023928807600

6225088 98790336 1669957802 40037217640 1023928807600 30698823130438

48596088 988422984 21127926654 676947457572 23068624328596 951099220684802

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 12].

k=2: [order 70].

Example

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

Crossrefs

Sequence in context: A212724 A235948 A250752 * A235002 A222798 A128965

Adjacent sequences: A235004 A235005 A235006 * A235008 A235009 A235010

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 02 2014

Status

approved