A234874 Number of (n+1) X (n+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

32, 148, 472, 3336, 12208, 261384, 1035792, 98517200, 394703128, 170944136648, 684393189840, 1274659858736120, 5100387102322576

Offset

1,1

Links

Table of n, a(n) for n=1..13.

Example

Some solutions for n=4:
  1 0 2 0 2      2 0 2 1 2      1 0 1 0 1      2 0 1 0 1
  3 1 4 3 4      4 3 4 2 4      3 1 3 1 3      3 2 4 2 4
  1 0 2 0 2      3 1 3 0 3      1 0 1 0 1      2 0 1 0 1
  3 1 4 3 4      4 3 4 2 4      4 2 4 2 4      3 2 4 2 4
  1 0 2 0 2      2 0 2 1 2      1 0 3 0 3      2 0 1 0 3

Crossrefs

Diagonal of A234882.

Sequence in context: A097199 A100165 A100173 * A220975 A100172 A234132

Adjacent sequences: A234871 A234872 A234873 * A234875 A234876 A234877

Keyword

nonn

Author

R. H. Hardin, Jan 01 2014

Status

approved