A234991 T(n,k) is the number of (n+1) X (k+1) 0..5 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).

90, 370, 370, 1640, 1490, 1640, 7554, 6908, 6908, 7554, 35072, 35598, 34608, 35598, 35072, 163416, 189200, 206556, 206556, 189200, 163416, 762002, 1026784, 1303920, 1525462, 1303920, 1026784, 762002, 3554334, 5628414, 8616068, 12242044

Offset

1,1

Comments

Table starts

90 370 1640 7554 35072 163416

370 1490 6908 35598 189200 1026784

1640 6908 34608 206556 1303920 8616068

7554 35598 206556 1525462 12242044 105948984

35072 189200 1303920 12242044 128653892 1507413164

163416 1026784 8616068 105948984 1507413164 24740904388

762002 5628414 58209538 951853990 18608169852 433293595046

3554334 31099742 400984904 8853338774 241470307440 8076317372004

16580250 172847074 2799816642 84210673350 3223991647750 155302530533130

77345792 965377320 19780619488 816873730308 44160189525640 3074015131838128

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Formula

Empirical for column k:

k=1: [linear recurrence of order 8].

k=2: [order 28].

k=3: [order 91].

Example

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

Crossrefs

Sequence in context: A245866 A157888 A201103 * A234984 A158490 A304618

Adjacent sequences: A234988 A234989 A234990 * A234992 A234993 A234994

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 02 2014

Status

approved