A183426 - OEIS

%I #9 Mar 29 2018 05:30:47

%S 9,32,256,2097,16384,131072,1048959,8388608,67108864,536873985,

%T 4294967296,34359738368,274877931519,2199023255552,17592186044416,

%U 140737488551937,1125899906842624,9007199254740992,72057594039500799

%N Half the number of n X 3 0..2 arrays with no element equal its row sum plus its column sum mod 3.

%C Column 3 of A183429.

%H R. H. Hardin, <a href="/A183426/b183426.txt">Table of n, a(n) for n = 1..161</a>

%F Empirical: a(n) = 8*a(n-1) + 7*a(n-3) - 56*a(n-4) + 8*a(n-6) - 64*a(n-7).

%F Empirical g.f.: x*(9 - 40*x - 14*x^3 - 112*x^4 - 32*x^6) / ((1 + x)*(1 - 2*x)*(1 - 8*x)*(1 - x + x^2)*(1 + 2*x + 4*x^2)). - _Colin Barker_, Mar 29 2018

%e Some solutions for 4X3

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

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

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

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

%Y Cf. A183429.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 04 2011