A234898 T(n,k) is the number of (n+1) X (k+1) 0..6 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).

160, 760, 760, 3456, 4024, 3456, 16572, 20404, 20404, 16572, 76032, 115924, 113288, 115924, 76032, 365024, 625480, 743436, 743436, 625480, 365024, 1676576, 3640580, 4634504, 5941320, 4634504, 3640580, 1676576, 8050184, 19965444, 32110856

Offset

1,1

Comments

Table starts

160 760 3456 16572 76032 365024

760 4024 20404 115924 625480 3640580

3456 20404 113288 743436 4634504 32110856

16572 115924 743436 5941320 44518632 385262124

76032 625480 4634504 44518632 399820568 4244726408

365024 3640580 32110856 385262124 4244726408 57645698844

1676576 19965444 208211944 3064189932 41268054688 700047980248

8050184 117487100 1482491852 27702518548 464573800208 10265376879740

36980544 648180128 9763925800 225962416092 4675921747384 130326665117372

177566656 3842929120 70741188392 2102864178560 54793760749712

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: a(n) = 30*a(n-2) -194*a(n-4) +428*a(n-6) -288*a(n-8) +48*a(n-10).

k=2: [order 51].

Example

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

Crossrefs

Sequence in context: A233910 A234658 A234651 * A234891 A305272 A234450

Adjacent sequences: A234895 A234896 A234897 * A234899 A234900 A234901

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 01 2014

Status

approved