A207792 - OEIS

%I #10 Jun 25 2018 15:54:56

%S 256,2208,20800,184416,1714176,15376544,141647296,1279043040,

%T 11724000896,106260735008,971279945280,8821770053472,80508174426368,

%U 732094567369632,6675191873895104,60741010476989664,553553902058209152

%N Number of (n+1) X 2 0..3 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases.

%C Column 1 of A207799.

%H R. H. Hardin, <a href="/A207792/b207792.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + 61*a(n-2) + 83*a(n-3) + 272*a(n-4) + 336*a(n-5).

%F Empirical g.f.: 32*x*(8 + 61*x + 93*x^2 + 240*x^3 + 252*x^4) / (1 - x - 61*x^2 - 83*x^3 - 272*x^4 - 336*x^5). - _Colin Barker_, Jun 25 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Cf. A207799.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 20 2012