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A203887 T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements 9
637, 8281, 8281, 107653, 254359, 107653, 1399489, 7501753, 7501753, 1399489, 18193357, 222645367, 543848893, 222645367, 18193357, 236513641, 6601376089, 39572771665, 39572771665, 6601376089, 236513641, 3074677333, 195759462871 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
.........637............8281..............107653..............1399489
........8281..........254359.............7501753............222645367
......107653.........7501753...........543848893..........39572771665
.....1399489.......222645367.........39572771665........7265109130279
....18193357......6601376089.......2880436707253.....1337957259758497
...236513641....195759462871.....209668438383145...247090069595954263
..3074677333...5804976472057...15261911634884845.45601045546133880817
.39970805329.172139217677623.1110925438997643073
LINKS
FORMULA
Empirical for columns:
k=1: a(n) = 49*13^n
k=2: a(n) = 25*a(n-1) +138*a(n-2)
k=3: a(n) = 79*a(n-1) -450*a(n-2) -144*a(n-3)
k=4: a(n) = 115*a(n-1) +17016*a(n-2) -763308*a(n-3) -1177416*a(n-4) +49714560*a(n-5) +35870688*a(n-6) -153031680*a(n-7)
k=5: (order 12 recurrence)
EXAMPLE
Some solutions for n=4 k=3
..4..6..2..0....2..5..1..0....1..1..5..2....6..6..4..0....6..0..3..3
..5..4..6..2....1..2..5..1....3..1..1..5....4..6..6..4....3..6..0..3
..6..5..4..6....0..1..2..5....2..3..1..1....5..4..6..6....1..3..6..0
..2..6..5..4....6..0..1..2....4..2..3..1....3..5..4..6....6..1..3..6
..4..2..6..5....2..6..0..1....0..4..2..3....1..3..5..4....3..6..1..3
CROSSREFS
Sequence in context: A198774 A043483 A203042 * A203880 A250465 A203879
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 07 2012
STATUS
approved

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Last modified April 21 17:07 EDT 2024. Contains 371874 sequences. (Running on oeis4.)