A234702 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 5 (constant-stress 1 X 1 tilings).

408, 2628, 2628, 16848, 13952, 16848, 109224, 74308, 74308, 109224, 704160, 409268, 329984, 409268, 704160, 4594320, 2261220, 1558600, 1558600, 2261220, 4594320, 29782080, 12903164, 7424496, 6480632, 7424496, 12903164, 29782080, 195532704

Offset

1,1

Comments

Table starts

408 2628 16848 109224 704160 4594320

2628 13952 74308 409268 2261220 12903164

16848 74308 329984 1558600 7424496 37338544

109224 409268 1558600 6480632 27355272 123900992

704160 2261220 7424496 27355272 102856704 421924272

4594320 12903164 37338544 123900992 421924272 1588256456

29782080 73793620 189345872 568426072 1760111424 6105726016

195532704 434990348 1006857472 2764737872 7867555584 25353440600

1274237568 2565773508 5389971408 13583184744 35635123680

8416415808 15562814252 30077051488 70136986928

Links

R. H. Hardin, Table of n, a(n) for n = 1..96

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-1) +90*a(n-2) -540*a(n-3) -2016*a(n-4) +12096*a(n-5).

k=2: [order 15].

k=3: [order 31].

Example

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

Crossrefs

Sequence in context: A281859 A067674 A157263 * A234697 A337795 A183717

Adjacent sequences: A234699 A234700 A234701 * A234703 A234704 A234705

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 29 2013

Status

approved