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A222935 T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 nXk array.

%I A222935 #6 Jul 23 2025 03:17:39
%S A222935 2,2,4,8,16,8,16,48,64,16,24,256,512,232,32,64,1024,4000,4096,1024,64,
%T A222935 128,4096,32760,63488,32768,4096,128,232,15820,262104,1047664,1048352,
%U A222935 262144,16224,256,512,65536,2097152,16776992,33553920,16777216,2097152
%N A222935 T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 nXk array.
%C A222935 Table starts
%C A222935 ....2.......2.........8.........16..........24..........64.........128
%C A222935 ....4......16........48........256........1024........4096.......15820
%C A222935 ....8......64.......512.......4000.......32760......262104.....2097152
%C A222935 ...16.....232......4096......63488.....1047664....16776992...268435456
%C A222935 ...32....1024.....32768....1048352....33553920..1073741824.34358569712
%C A222935 ...64....4096....262144...16777216..1073741824.68719413208
%C A222935 ..128...16224...2097152..268435456.34359738368
%C A222935 ..256...65536..16777216.4294962688
%C A222935 ..512..262144.134217728
%C A222935 .1024.1047680
%C A222935 .2048
%H A222935 R. H. Hardin, <a href="/A222935/b222935.txt">Table of n, a(n) for n = 1..70</a>
%e A222935 Some solutions for n=3 k=4
%e A222935 ..0..0..1..1....0..1..1..1....1..1..1..0....0..1..0..0....1..1..1..1
%e A222935 ..0..0..1..1....0..0..1..0....0..1..0..0....0..1..1..1....1..1..0..1
%e A222935 ..0..0..1..0....1..1..0..0....0..1..0..1....0..1..1..0....0..0..1..0
%Y A222935 Column 1 is A000079
%Y A222935 Column 2 is A222381
%Y A222935 Column 3 is A001018 except for a(2)
%Y A222935 Row 1 is A220172
%K A222935 nonn,tabl
%O A222935 1,1
%A A222935 _R. H. Hardin_ Mar 09 2013