A206070 - OEIS

%I #5 Mar 31 2012 12:37:09

%S 29760,574182,16608978,496478790,14970344658,452464863480,

%T 13684187500638,413929178183916,12521216351140614,378760624009958586,

%U 11457191957210910756,346567072337759723952,10483188115522540792626

%N Number of (n+1)X7 0..2 arrays with every 2X3 or 3X2 subblock having exactly three clockwise edge increases

%C Column 6 of A206072

%H R. H. Hardin, <a href="/A206070/b206070.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 91*a(n-1) -3394*a(n-2) +69546*a(n-3) -883690*a(n-4) +7380427*a(n-5) -40963769*a(n-6) +139582165*a(n-7) -141805158*a(n-8) -1464208945*a(n-9) +10820359857*a(n-10) -43912149698*a(n-11) +128335523840*a(n-12) -291090234895*a(n-13) +529193780698*a(n-14) -784202749388*a(n-15) +956340680436*a(n-16) -964553634293*a(n-17) +805612388063*a(n-18) -555887420221*a(n-19) +314779342674*a(n-20) -144442875633*a(n-21) +52551071205*a(n-22) -14590142660*a(n-23) +2870897391*a(n-24) -333019824*a(n-25) +6427608*a(n-26) +3137088*a(n-27) -156048*a(n-28) -4096*a(n-29) for n>35

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 03 2012