A205766 - OEIS

A205766

Number of (n+1) X 7 0..3 arrays with every 2 X 2 subblock having nonzero determinant and having the same number of clockwise edge increases as its horizontal and vertical neighbors.

%I #7 Apr 30 2022 21:20:21

%S 3490700,1336717872,545700470559,223459321298323,91342751431917271,

%T 37329289868928312037,15245666610881157061902,

%U 6226771909851135513221100,2542604116386266994899929934,1038308180737975215393212045381

%N Number of (n+1) X 7 0..3 arrays with every 2 X 2 subblock having nonzero determinant and having the same number of clockwise edge increases as its horizontal and vertical neighbors.

%C Column 6 of A205768.

%H R. H. Hardin, <a href="/A205766/b205766.txt">Table of n, a(n) for n = 1..66</a>

%e Some solutions for 5 X 5

%e ..2..3..2..0..1..3..3....1..0..1..2..1..3..2....0..3..0..2..2..3..1

%e ..1..1..0..1..3..1..0....2..1..2..1..2..0..3....1..0..2..0..3..1..2

%e ..0..2..1..3..1..0..2....0..2..3..2..3..1..0....3..1..3..2..1..3..1

%e ..2..3..2..0..2..1..3....3..0..1..3..2..2..1....2..1..0..3..2..1..0

%e ..2..1..3..1..3..2..1....0..2..0..2..1..3..2....1..0..1..0..3..2..1

%Y Cf. A205768.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 30 2012