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A219142 T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal, diagonal or antidiagonal neighbor in a random 0..2 nXk array 14

%I #4 Nov 12 2012 19:21:21

%S 1,2,1,4,6,1,7,18,18,1,12,39,78,51,1,21,96,281,331,142,1,37,225,1072,

%T 1774,1400,405,1,65,543,4033,10505,11385,5949,1157,1,114,1293,15255,

%U 59127,101600,73136,25277,3289,1,200,3096,57963,341648,872437,989947

%N T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal, diagonal or antidiagonal neighbor in a random 0..2 nXk array

%C Table starts

%C .1......2........4..........7..........12...........21............37

%C .1......6.......18.........39..........96..........225...........543

%C .1.....18.......78........281........1072.........4033.........15255

%C .1.....51......331.......1774.......10505........59127........341648

%C .1....142.....1400......11385......101600.......872437.......7640541

%C .1....405.....5949......73136......989947.....12867295.....170792866

%C .1...1157....25277.....472638.....9702349....191707377....3862325048

%C .1...3289...107353....3050285....94937311...2851740545...87205791997

%C .1...9344...455938...19667721...927766394..42351530487.1964627314453

%C .1..26580..1936500..126807809..9067631046.628917557052

%C .1..75621..8224877..817795362.88653591037

%C .1.215076.34933256.5274346426

%H R. H. Hardin, <a href="/A219142/b219142.txt">Table of n, a(n) for n = 1..127</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Row 1 is A005251(n+2)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Nov 12 2012

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Last modified April 18 04:56 EDT 2024. Contains 371767 sequences. (Running on oeis4.)