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 A222522 T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..3 order 7

%I #4 Feb 23 2013 17:24:14

%S 1,0,0,0,0,0,3,0,0,3,4,9,4,9,4,8,0,37,37,0,8,10,114,0,206,0,114,10,55,

%T 0,1302,1111,1111,1302,0,55,72,1881,1318,26513,9596,26513,1318,1881,

%U 72,294,0,90581,221659,459702,459702,221659,90581,0,294,378,33828,70734,6043652

%N T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..3 order

%C Table starts

%C ....1......0.........0............3...............4................8

%C ....0......0.........0............9...............0..............114

%C ....0......0.........4...........37...............0.............1302

%C ....3......9........37..........206............1111............26513

%C ....4......0.........0.........1111............9596...........459702

%C ....8....114......1302........26513..........459702.........15047384

%C ...10......0......1318.......221659.........3661130........403328822

%C ...55...1881.....90581......6043652.......396851809......32347515041

%C ...72......0.....70734.....56070649......3695255764....1232881699540

%C ..294..33828...5931248...1573702327....395638371502..121450541699548

%C ..378......0...5165434..14644968953...3770574602806.4853507073442748

%C .1883.624019.396589283.408818223648.408695270841202

%H R. H. Hardin, <a href="/A222522/b222522.txt">Table of n, a(n) for n = 1..143</a>

%e Some solutions for n=4 k=4

%e ..0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..1....0..1..2..3

%e ..0..0..0..2....0..0..0..1....0..0..0..0....0..0..0..0....2..2..2..2

%e ..0..0..0..2....0..0..0..1....0..0..1..1....0..0..0..1....2..2..2..2

%e ..0..0..0..2....0..0..0..1....0..0..1..1....0..0..0..0....2..2..2..2

%Y Column 1 is A222269

%K nonn,tabl

%O 1,7

%A _R. H. Hardin_ Feb 23 2013

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Last modified June 17 20:03 EDT 2024. Contains 373464 sequences. (Running on oeis4.)