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A181217 T(n,k)=Number of nXk binary matrices with no three 1's adjacent in a line diagonally or antidiagonally.

%I A181217 #5 Jul 22 2025 08:36:19
%S A181217 2,4,4,8,16,8,16,64,64,16,32,256,400,256,32,64,1024,2500,2500,1024,64,
%T A181217 128,4096,16100,28561,16100,4096,128,256,16384,103684,337561,337561,
%U A181217 103684,16384,256,512,65536,665252,3857296,7133488,3857296,665252,65536
%N A181217 T(n,k)=Number of nXk binary matrices with no three 1's adjacent in a line diagonally or antidiagonally.
%C A181217 Table starts
%C A181217 ....2.......4.........8..........16.............32...............64
%C A181217 ....4......16........64.........256...........1024.............4096
%C A181217 ....8......64.......400........2500..........16100...........103684
%C A181217 ...16.....256......2500.......28561.........337561..........3857296
%C A181217 ...32....1024.....16100......337561........7133488........144192064
%C A181217 ...64....4096....103684.....3857296......144192064.......5037592576
%C A181217 ..128...16384....665252....44408896.....2970419984.....180842665536
%C A181217 ..256...65536...4268356...512750736....61244865529....6495402737664
%C A181217 ..512..262144..27399292..5909458129..1259243459640..232194205926400
%C A181217 .1024.1048576.175880644.68121522001.25918851195136.8315656953170176
%H A181217 R. H. Hardin, <a href="/A181217/b181217.txt">Table of n, a(n) for n=1..477</a>
%e A181217 Some avoided solutions for 3X3
%e A181217 ..0..0..1....1..0..0....0..0..1....0..1..1....1..0..1....1..0..0....0..0..1
%e A181217 ..1..1..0....0..1..0....0..1..1....0..1..0....0..1..0....0..1..1....0..1..0
%e A181217 ..1..0..0....1..0..1....1..0..0....1..0..0....1..0..0....0..0..1....1..0..1
%K A181217 nonn,tabl
%O A181217 1,1
%A A181217 _R. H. Hardin_ Oct 10 2010