A204150 - OEIS

%I #5 Mar 31 2012 12:37:01

%S 724154,5117114,26968208,146747822,839477288,4563772922,25275772916,

%T 139642744838,772194787088,4262756025938,23426861587412,

%U 129342548942894,714008916715904,3937308974080682,21720242779852508,119827290425297702

%N Number of (n+2)X7 0..2 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order

%C Column 5 of A204153

%H R. H. Hardin, <a href="/A204150/b204150.txt">Table of n, a(n) for n = 1..149</a>

%F Empirical: a(n) = 6*a(n-1) -5*a(n-2) +2*a(n-3) +42*a(n-4) +82*a(n-5) -1852*a(n-6) +11132*a(n-7) +15422*a(n-8) -129256*a(n-9) +187216*a(n-10) +150068*a(n-11) -837240*a(n-12) -2041624*a(n-13) +3922712*a(n-14) +9523648*a(n-15) -75234672*a(n-16) +137677776*a(n-17) +108334336*a(n-18) -417274176*a(n-19) +572405504*a(n-20) -410308096*a(n-21) -275314688*a(n-22) +348913664*a(n-23) +5157380096*a(n-24) -10434699264*a(n-25) +5277319168*a(n-26) for n>27

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 11 2012