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A234490
T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).
9
62, 242, 242, 944, 926, 944, 3686, 3540, 3540, 3686, 14402, 13554, 13260, 13554, 14402, 56312, 51950, 49784, 49784, 51950, 56312, 220334, 199340, 187196, 183422, 187196, 199340, 220334, 862706, 765738, 705072, 677138, 677138, 705072, 765738
OFFSET
1,1
COMMENTS
Table starts
62 242 944 3686 14402 56312 220334
242 926 3540 13554 51950 199340 765738
944 3540 13260 49784 187196 705072 2659824
3686 13554 49784 183422 677138 2505400 9288710
14402 51950 187196 677138 2455350 8928348 32545706
56312 199340 705072 2505400 8928348 31925284 114484712
220334 765738 2659824 9288710 32545706 114484712 404043442
862706 2944686 10049936 34509914 118945534 411823840 1431125914
3380192 11336132 38030588 128461544 435728940 1485448976 5084793448
13252982 43687010 144134184 479146446 1600124066 5373690488 18127421166
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 7*a(n-1) -9*a(n-2) -12*a(n-3).
k=2: a(n) = 10*a(n-1) -28*a(n-2) +a(n-3) +54*a(n-4) +24*a(n-5).
k=3: [order 11].
k=4: [order 18].
k=5: [order 31].
EXAMPLE
Some solutions for n=4, k=4:
2 2 0 2 1 0 3 0 1 2 0 0 2 3 2 0 1 2 2 2
3 1 1 1 2 2 3 2 1 0 1 3 3 2 3 3 2 1 3 1
1 1 3 1 0 1 0 1 2 3 1 1 3 0 3 1 2 3 3 3
0 2 2 2 3 0 1 0 3 2 0 2 2 1 2 0 3 2 0 2
3 3 1 3 2 0 3 0 1 2 0 0 2 3 2 2 3 0 0 0
CROSSREFS
Sequence in context: A100423 A230007 A318561 * A234483 A158067 A045220
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 26 2013
STATUS
approved