A226717 T(n,k)=Number of nXk (-1,0,1) arrays of determinants of 2X2 subblocks of some (n+1)X(k+1) binary array

3, 9, 9, 25, 71, 25, 67, 427, 427, 67, 181, 2393, 4671, 2393, 181, 491, 13691, 49019, 49019, 13691, 491, 1331, 80043, 539703, 977939, 539703, 80043, 1331, 3607, 469273, 6045209, 20577215, 20577215, 6045209, 469273, 3607, 9775, 2739433, 67402167

Offset

1,1

Comments

Table starts

....3........9.........25............67..............181.................491

....9.......71........427..........2393............13691...............80043

...25......427.......4671.........49019...........539703.............6045209

...67.....2393......49019........977939.........20577215...........439030021

..181....13691.....539703......20577215........833949273.........34404755041

..491....80043....6045209.....439030021......34404755041.......2753775365011

.1331...469273...67402167....9326184515....1412775737517.....219013376708219

.3607..2739433..748987305..197633166633...57827217804729...17350805966693235

.9775.15958607.8323819069.4188392176965.2366890987279579.1374728293480549343

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-2) +2*a(n-3) +a(n-4) +a(n-5)

k=2: [order 16]

k=3: [order 42]

Example

Some solutions for n=3 k=4
..0.-1..1.-1....0..0..0..0....1.-1.-1..1....0..1..1.-1....1..1..0..0
..0..0..0.-1....0..1.-1..0....0..1..1.-1....0..0..0..0...-1..0..0..0
..0.-1..1..1...-1.-1..1..1....0.-1..1..0....0.-1..1..0...-1..1..0..1

Crossrefs

Sequence in context: A268971 A267966 A263320 * A207208 A206734 A207358

Adjacent sequences: A226714 A226715 A226716 * A226718 A226719 A226720

Keyword

nonn,tabl

Author

R. H. Hardin Jun 15 2013

Status

approved