A205913 - OEIS

%I #7 Dec 10 2015 02:16:28

%S 8655,60108,875760,14150391,231526056,3820547082,63265158237,

%T 1050303618804,17461890895080,290595076221963,4838872120161432,

%U 80606225112622692,1343073244180215729,22382033385164467782

%N Number of (n+1) X 5 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and the same number of counterclockwise edge increases as its vertical neighbors.

%C Column 4 of A205917.

%H R. H. Hardin, <a href="/A205913/b205913.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 39*a(n-1) -449*a(n-2) -280*a(n-3) +38627*a(n-4) -194142*a(n-5) -722325*a(n-6) +8362314*a(n-7) -8814598*a(n-8) -119351330*a(n-9) +364555331*a(n-10) +571807695*a(n-11) -3762430021*a(n-12) +1005906085*a(n-13) +17872231989*a(n-14) -17924557191*a(n-15) -46697636378*a(n-16) +59483617162*a(n-17) +101379896854*a(n-18) -97834390867*a(n-19) -275783352058*a(n-20) +187896416529*a(n-21) +575156811804*a(n-22) -432370167255*a(n-23) -652816594059*a(n-24) +481022193149*a(n-25) +543259841468*a(n-26) -182925146032*a(n-27) -633623973480*a(n-28) +179429171676*a(n-29) +471746478736*a(n-30) -267860928768*a(n-31) -84901710512*a(n-32) +94154797600*a(n-33) -11353349248*a(n-34) -7552430976*a(n-35) +2371211520*a(n-36) -187588608*a(n-37) for n>43.

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 01 2012