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 A222360 T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order 9

%I #4 Feb 16 2013 06:11:23

%S 1,1,1,1,1,1,4,1,1,4,5,8,5,8,5,10,9,24,24,9,10,12,42,27,73,27,42,12,

%T 34,48,176,268,268,176,48,34,43,222,404,1315,1054,1315,404,222,43,101,

%U 255,2180,5381,7870,7870,5381,2180,255,101,127,1237,3751,25239,32456,67171

%N T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order

%C Table starts

%C ...1....1......1........4.........5..........10............12..............34

%C ...1....1......1........8.........9..........42............48.............222

%C ...1....1......5.......24........27.........176...........404............2180

%C ...4....8.....24.......73.......268........1315..........5381...........25239

%C ...5....9.....27......268......1054........7870.........32456..........324520

%C ..10...42....176.....1315......7870.......67171........521808.........4792786

%C ..12...48....404.....5381.....32456......521808.......4355033........73441550

%C ..34..222...2180....25239....324520.....4792786......73441550......1211912419

%C ..43..255...3751...113538...1448518....41877926.....636658142.....20792838201

%C .101.1237..21261...533356..13349337...391239171...11579446170....366814429936

%C .127.1435..44985..2402550..61168861..3537643712..105585657325...6611812189851

%C .331.6923.238441.11364630.582447092.33270643320.1957901435989.120877618591030

%H R. H. Hardin, <a href="/A222360/b222360.txt">Table of n, a(n) for n = 1..199</a>

%e Some solutions for n=4 k=4

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

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

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

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

%K nonn,tabl

%O 1,7

%A _R. H. Hardin_ Feb 16 2013

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Last modified August 3 11:35 EDT 2024. Contains 374887 sequences. (Running on oeis4.)