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A189111 T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally or antidiagonally 13

%I #5 Mar 31 2012 12:36:14

%S 2,4,4,8,16,8,16,64,64,16,32,256,400,256,32,64,1024,2500,2500,1024,64,

%T 128,4096,16100,23716,15200,4096,128,256,16384,103684,244000,207936,

%U 92416,16384,256,512,65536,665252,2515396,3179520,1806336,560576,65536

%N T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally or antidiagonally

%C Table starts

%C ....2.......4.........8.........16............32..............64

%C ....4......16........64........256..........1024............4096

%C ....8......64.......400.......2500.........16100..........103684

%C ...16.....256......2500......23716........244000.........2515396

%C ...32....1024.....15200.....207936.......3179520........49561600

%C ...64....4096.....92416....1806336......40933920.......953574400

%C ..128...16384....560576...15523600.....517260800.....17821182016

%C ..256...65536...3400336..133079296....6517280000....332070977536

%C ..512..262144..20623296.1138927504...81726092800...6138818896896

%C .1024.1048576.125081856.9743269264.1024109836800.113361334648384

%H R. H. Hardin, <a href="/A189111/b189111.txt">Table of n, a(n) for n = 1..545</a>

%e Some solutions for 5X3

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

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

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

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

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

%Y Row 3 is A181214

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Apr 16 2011

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)