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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).
6
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 20 2013
STATUS
approved