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A187705
T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal.
7
10, 31, 128, 64, 1489, 2, 113, 8272, 72, 34, 170, 31461, 322, 5030, 0, 255, 93476, 1718, 81456, 36, 2, 336, 235773, 2904, 875696, 530, 7410, 0, 449, 524284, 9834, 4225652, 4612, 230446, 474, 0, 570, 1062857, 13324, 22532156, 12898
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OFFSET
1,1
COMMENTS
Table starts
..10...31.....64....113.....170......255....336.....449.570
.128.1489...8272..31461...93476...235773.524284.1062857
...2...72....322...1718....2904.....9834..13324
..34.5030..81456.875696.4225652.22532156
...0...36....530...4612...12898
...2.7410.230446
...0..474
...0
LINKS
Table of n, a(n) for n=1..41.
EXAMPLE
Some k=3 solutions for 5X5
..0..0..1..2..2....0..0..1..2..2....0..0..1..0..0....0..3..2..3..2
..2..2..0..2..2....3..3..0..1..1....1..1..0..1..2....0..3..3..3..2
..2..3..0..3..2....1..2..0..2..1....1..2..0..1..1....1..0..0..0..1
..2..2..0..2..2....1..1..0..3..3....1..1..0..1..2....2..3..1..3..2
..2..2..1..3..3....0..0..1..2..2....1..1..1..0..0....2..3..0..3..2
CROSSREFS
Row 1 is
A059306
Sequence in context:
A111500
A342362
A161325
*
A267564
A289201
A042849
Adjacent sequences:
A187702
A187703
A187704
*
A187706
A187707
A187708
KEYWORD
nonn
,
tabl
AUTHOR
R. H. Hardin
, Mar 12 2011
STATUS
approved
