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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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified August 14 13:43 EDT 2022. Contains 356117 sequences. (Running on oeis4.)