A206128 - OEIS

A206128

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having nonzero determinant and having the same number of clockwise edge increases as its horizontal and vertical neighbors

50, 170, 170, 558, 798, 558, 1906, 3692, 3692, 1906, 6386, 18572, 25340, 18572, 6386, 21940, 93582, 201498, 201498, 93582, 21940, 74714, 491162, 1622095, 2501248, 1622095, 491162, 74714, 258496, 2591052, 13475116, 31537842, 31537842, 13475116

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OFFSET

1,1

COMMENTS

Table starts

.....50......170.......558........1906..........6386...........21940

....170......798......3692.......18572.........93582..........491162

....558.....3692.....25340......201498.......1622095........13475116

...1906....18572....201498.....2501248......31537842.......404927788

...6386....93582...1622095....31537842.....619611200.....12251680342

..21940...491162..13475116...404927788...12251680342....372768662926

..74714..2591052.112183711..5199505646..242348711498..11329725297298

.258496.13911368.939358762.66968651436.4795824388008.344897509718070

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

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

CROSSREFS

Sequence in context: A160783 A085445 A048511 * A333101 A206121 A349808

Adjacent sequences: A206125 A206126 A206127 * A206129 A206130 A206131

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 04 2012

STATUS

approved