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A234190
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 2 (constant-stress 1 X 1 tilings).
6
412, 3710, 3710, 33720, 44826, 33720, 307598, 549448, 549448, 307598, 2802904, 6788640, 9120608, 6788640, 2802904, 25588052, 83845322, 153306026, 153306026, 83845322, 25588052, 233283984, 1039633348, 2571461348, 3523122268, 2571461348
OFFSET
1,1
COMMENTS
Table starts
412 3710 33720 307598 2802904
3710 44826 549448 6788640 83845322
33720 549448 9120608 153306026 2571461348
307598 6788640 153306026 3523122268 80718738808
2802904 83845322 2571461348 80718738808 2520220543472
25588052 1039633348 43400523142 1866058872810 79661836246626
233283984 12874230598 730012705548 42943618264812
2130704612 160028488122 12351551016378
19434069328 1986351882576
177586235768
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 7].
k=2: [order 35].
EXAMPLE
Some solutions for n=2, k=4:
0 5 1 1 5 0 4 2 5 6 0 4 5 4 4 0 5 6 2 6
0 3 1 3 5 0 2 2 3 2 0 2 1 2 4 0 3 2 0 6
0 5 1 1 1 0 4 2 5 6 1 1 2 1 5 3 4 1 1 5
CROSSREFS
Sequence in context: A201844 A105211 A081378 * A234185 A282127 A344119
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 20 2013
STATUS
approved