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A187699 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock determinant nonzero and the array of 2X2 subblock determinants symmetric under horizontal and vertical reflection 4
6, 50, 0, 192, 8, 104, 512, 74, 7954, 0, 1126, 280, 87258, 1548, 9350, 2146, 784, 692410, 22738, 15128848, 0, 3760, 1970, 2363474, 320674, 1089964504, 454640, 4280018, 6112, 3580, 10839282, 1147854 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......6.......50........192....512....1126.....2146.3760.6112

.......0........8.........74....280.....784.....1970.3580

.....104.....7954......87258.692410.2363474.10839282

.......0.....1548......22738.320674.1147854

....9350.15128848.1089964504

.......0...454640

.4280018

LINKS

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

EXAMPLE

Some k=3 solutions for 5X5

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

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

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

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

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

CROSSREFS

Row 1 is A062801

Row 2 is A187529

Sequence in context: A305376 A024268 A187528 * A212232 A187670 A187462

Adjacent sequences:  A187696 A187697 A187698 * A187700 A187701 A187702

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 12 2011

STATUS

approved

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Last modified August 11 00:55 EDT 2022. Contains 356046 sequences. (Running on oeis4.)