A234175 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 (constant-stress 1 X 1 tilings).

448, 4536, 4536, 47936, 70486, 47936, 517104, 1173940, 1173940, 517104, 5630848, 20235390, 31382488, 20235390, 5630848, 61624416, 354809676, 877700068, 877700068, 354809676, 61624416, 675750656, 6280203692, 25133134704

Offset

1,1

Comments

Table starts

448 4536 47936 517104 5630848

4536 70486 1173940 20235390 354809676

47936 1173940 31382488 877700068 25133134704

517104 20235390 877700068 40217750640 1898311922200

5630848 354809676 25133134704 1898311922200 148522072535416

61624416 6280203692 729604466884 91205700777916 11873684734291952

675750656 111690695276 21336968498856 4425866604068816

7420655424 1992506433044 627009808429332

81506779648 35594422747852

895774029696

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: a(n) = 154*a(n-2) -4144*a(n-4) +16176*a(n-6).

k=2: [order 35].

Example

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

Crossrefs

Sequence in context: A366815 A234428 A234424 * A234170 A120104 A229378

Adjacent sequences: A234172 A234173 A234174 * A234176 A234177 A234178

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 20 2013

Status

approved