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A187624 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 non-center subblock determinant nonzero and the array of 2X2 subblock determinants antisymmetric under 90 degree rotation 6
10, 31, 24, 64, 446, 2, 113, 2924, 60, 948, 170, 12104, 390, 324452, 36, 255, 37448, 2146, 12278892, 70548, 190972, 336, 98014, 5324, 221177664, 4232368, 6090023738, 3020, 449, 221640, 16042, 1896404966 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....10.........31.......64.......113........170...255....336.449

.....24........446.....2924.....12104......37448.98014.221640

......2.........60......390......2146.......5324.16042

....948.....324452.12278892.221177664.1896404966

.....36......70548..4232368

.190972.6090023738

...3020

LINKS

Table of n, a(n) for n=1..32.

EXAMPLE

Some k=3 solutions for 5X5

..1..0..1..0..1....2..0..1..3..2....2..0..1..2..3....1..0..2..0..1

..0..2..1..2..0....0..2..0..2..0....0..2..0..2..1....0..2..1..2..2

..1..0..1..0..1....1..0..1..0..1....1..3..2..0..1....2..0..3..0..2

..3..2..2..2..3....2..2..3..2..1....0..2..0..2..1....0..2..0..2..2

..1..0..1..0..1....2..0..1..0..2....2..3..1..0..2....1..3..2..0..1

CROSSREFS

Row 1 is A059306

Sequence in context: A276180 A247207 A187521 * A187633 A063154 A100500

Adjacent sequences:  A187621 A187622 A187623 * A187625 A187626 A187627

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 12 2011

STATUS

approved

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Last modified October 16 14:09 EDT 2021. Contains 348042 sequences. (Running on oeis4.)