cp's OEIS Frontend

A183380 T(n,k)=Number of nXk binary arrays with no element equal to the mod 3 sum of its king-move neighbors.

%I A183380 #7 Jul 22 2025 08:53:51
%S A183380 1,2,2,2,5,2,3,9,9,3,4,20,28,20,4,5,37,68,68,37,5,7,61,143,225,143,61,
%T A183380 7,9,144,364,627,627,364,144,9,12,289,952,2152,2767,2152,952,289,12,
%U A183380 16,497,2509,7036,11345,11345,7036,2509,497,16,21,1100,6412,22392,51706,64530
%N A183380 T(n,k)=Number of nXk binary arrays with no element equal to the mod 3 sum of its king-move neighbors.
%C A183380 Table starts
%C A183380 ..1....2.....2......3.......4........5..........7...........9...........12
%C A183380 ..2....5.....9.....20......37.......61........144.........289..........497
%C A183380 ..2....9....28.....68.....143......364........952........2509.........6412
%C A183380 ..3...20....68....225.....627.....2152.......7036.......22392........74381
%C A183380 ..4...37...143....627....2767....11345......51706......223151.......974387
%C A183380 ..5...61...364...2152...11345....64530.....377217.....2204567.....12979097
%C A183380 ..7..144...952...7036...51706...377217....2952294....22811993....176950342
%C A183380 ..9..289..2509..22392..223151..2204567...22811993...238729120...2477358069
%C A183380 .12..497..6412..74381..974387.12979097..176950342..2477358069..34520238211
%C A183380 .16.1100.16544.241819.4317835.75859054.1369406125.25692566781.477784675604
%H A183380 R. H. Hardin, <a href="/A183380/b183380.txt">Table of n, a(n) for n = 1..179</a>
%e A183380 Some solutions for 6X5
%e A183380 ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....1..0..1..0..1
%e A183380 ..1..1..0..1..0....1..1..0..0..1....0..1..0..1..0....1..1..1..1..1
%e A183380 ..0..1..1..1..0....1..1..0..0..0....0..1..1..1..0....1..0..1..1..0
%e A183380 ..0..1..1..0..0....0..0..0..0..0....0..0..1..0..0....0..0..0..1..1
%e A183380 ..1..1..1..0..0....1..1..1..1..0....1..0..0..0..1....1..0..1..0..1
%e A183380 ..0..0..1..1..0....1..1..1..1..0....1..1..1..1..1....0..0..0..1..0
%Y A183380 Column 1 is A000931(n+6)
%K A183380 nonn,tabl
%O A183380 1,2
%A A183380 _R. H. Hardin_ Jan 04 2011