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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified March 30 06:59 EDT 2020. Contains 333119 sequences. (Running on oeis4.)