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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.

%I A219142 #6 Jul 23 2025 00:16:16
%S A219142 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 A219142 1774,1400,405,1,65,543,4033,10505,11385,5949,1157,1,114,1293,15255,
%U A219142 59127,101600,73136,25277,3289,1,200,3096,57963,341648,872437,989947
%N 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.
%C A219142 Table starts
%C A219142 .1......2........4..........7..........12...........21............37
%C A219142 .1......6.......18.........39..........96..........225...........543
%C A219142 .1.....18.......78........281........1072.........4033.........15255
%C A219142 .1.....51......331.......1774.......10505........59127........341648
%C A219142 .1....142.....1400......11385......101600.......872437.......7640541
%C A219142 .1....405.....5949......73136......989947.....12867295.....170792866
%C A219142 .1...1157....25277.....472638.....9702349....191707377....3862325048
%C A219142 .1...3289...107353....3050285....94937311...2851740545...87205791997
%C A219142 .1...9344...455938...19667721...927766394..42351530487.1964627314453
%C A219142 .1..26580..1936500..126807809..9067631046.628917557052
%C A219142 .1..75621..8224877..817795362.88653591037
%C A219142 .1.215076.34933256.5274346426
%H A219142 R. H. Hardin, <a href="/A219142/b219142.txt">Table of n, a(n) for n = 1..127</a>
%e A219142 Some solutions for n=3 k=4
%e A219142 ..1..0..0..1....1..1..1..1....1..0..0..0....0..0..0..0....0..0..0..0
%e A219142 ..0..0..0..0....1..0..1..0....1..0..0..1....0..0..0..1....1..0..1..0
%e A219142 ..0..0..1..0....1..0..0..0....1..0..0..1....0..0..0..0....1..0..0..0
%Y A219142 Row 1 is A005251(n+2)
%K A219142 nonn,tabl
%O A219142 1,2
%A A219142 _R. H. Hardin_ Nov 12 2012