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A204705 T(n,k) = Number of n X k 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..2 introduced in row major order.

%I A204705 #8 Sep 03 2022 21:59:59
%S A204705 1,2,2,4,14,4,11,96,96,11,30,726,1417,726,30,82,5400,22869,22869,5400,
%T A204705 82,224,40344,362020,835135,362020,40344,224,612,301056,5767683,
%U A204705 29846373,29846373,5767683,301056,612,1672,2247264,91733605,1074195735,2389914827
%N A204705 T(n,k) = Number of n X k 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..2 introduced in row major order.
%C A204705 Table starts
%C A204705 ...1.......2..........4............11...............30..................82
%C A204705 ...2......14.........96...........726.............5400...............40344
%C A204705 ...4......96.......1417.........22869...........362020.............5767683
%C A204705 ..11.....726......22869........835135.........29846373..........1074195735
%C A204705 ..30....5400.....362020......29846373.......2389914827........192759130113
%C A204705 ..82...40344....5767683....1074195735.....192759130113......34925753412578
%C A204705 .224..301056...91733605...38585324821...15521787839696....6319625580942184
%C A204705 .612.2247264.1459710274.1386815731346.1250634888842984.1144097011453760287
%H A204705 R. H. Hardin, <a href="/A204705/b204705.txt">Table of n, a(n) for n = 1..127</a>
%e A204705 Some solutions for n=5, k=3
%e A204705 ..0..0..1....0..0..1....0..1..2....0..1..0....0..1..0....0..0..1....0..0..1
%e A204705 ..1..0..0....2..0..1....1..1..2....2..1..2....0..1..1....1..2..2....1..0..2
%e A204705 ..0..2..1....2..1..2....1..2..1....2..2..1....1..0..2....2..1..2....2..1..1
%e A204705 ..0..0..2....1..2..1....0..1..2....0..1..1....1..2..2....2..2..0....0..1..2
%e A204705 ..1..0..1....0..2..1....2..1..2....0..0..2....2..0..0....0..1..1....0..2..1
%Y A204705 Column 1 is A021006(n-3).
%K A204705 nonn,tabl
%O A204705 1,2
%A A204705 _R. H. Hardin_, Jan 18 2012