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A221666 T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 nXk array.

%I A221666 #6 Jul 23 2025 02:06:22
%S A221666 2,2,4,8,12,8,16,64,48,16,24,256,512,256,32,64,992,3772,3772,856,64,
%T A221666 128,4096,31744,63200,32768,4096,128,232,16384,262144,1048576,1048576,
%U A221666 262144,15872,256,512,65344,2097152,16777216,33421056,16777216,2097152,65344
%N A221666 T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 nXk array.
%C A221666 Table starts
%C A221666 ....2......2........8........16.........24.........64.......128........232
%C A221666 ....4.....12.......64.......256........992.......4096.....16384......65344
%C A221666 ....8.....48......512......3772......31744.....262144...2097152...16728064
%C A221666 ...16....256.....3772.....63200....1048576...16777216.268281856.4294967296
%C A221666 ...32....856....32768...1048576...33421056.1073741824
%C A221666 ...64...4096...262144..16777216.1073741824
%C A221666 ..128..15872..2097152.268281856
%C A221666 ..256..65344.16777216
%C A221666 ..512.259584
%C A221666 .1024
%H A221666 R. H. Hardin, <a href="/A221666/b221666.txt">Table of n, a(n) for n = 1..59</a>
%e A221666 Some solutions for n=3 k=4
%e A221666 ..1..0..0..0....0..1..0..0....1..1..0..0....1..0..0..0....0..1..1..0
%e A221666 ..0..1..0..0....1..0..1..1....0..0..0..1....1..1..0..1....0..1..0..1
%e A221666 ..0..1..1..1....1..1..1..0....1..0..0..1....0..0..0..1....1..0..0..1
%Y A221666 Column 1 is A000079
%Y A221666 Row 1 is A220172
%K A221666 nonn,tabl
%O A221666 1,1
%A A221666 _R. H. Hardin_ Jan 21 2013