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A223126 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.

%I A223126 #6 Jul 23 2025 03:46:05
%S A223126 1,1,2,2,10,5,10,64,72,14,24,489,1154,664,41,72,3599,28907,33604,5376,
%T A223126 122,168,27803,444555,1780641,622568,47968,365,664,212771,11814919,
%U A223126 95995609,112106293,18539512,406400,1094,1632,1656545,186184618
%N A223126 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.
%C A223126 Table starts
%C A223126 .....1...........1................2....................10
%C A223126 .....2..........10...............64...................489
%C A223126 .....5..........72.............1154.................28907
%C A223126 ....14.........664............33604...............1780641
%C A223126 ....41........5376...........622568.............112106293
%C A223126 ...122.......47968.........18539512............7157970340
%C A223126 ...365......406400........354680696..........461597847603
%C A223126 ..1094.....3585408......10596201904........29989116614529
%C A223126 ..3281....30987264.....206498940320......1959625907209239
%C A223126 ..9842...272565760....6177157242496....128645318481467647
%C A223126 .29525..2378450944..121870726469408...8477443608456769792
%C A223126 .88574.20921604096.3647201710914880.560422268684443059564
%H A223126 R. H. Hardin, <a href="/A223126/b223126.txt">Table of n, a(n) for n = 1..125</a>
%e A223126 Some solutions for n=3 k=4
%e A223126 ..0..1..0..2....0..1..0..0....0..1..0..2....0..1..2..0....0..1..0..2
%e A223126 ..2..1..1..2....0..1..2..2....0..1..2..2....2..0..1..1....2..0..2..0
%e A223126 ..0..0..1..0....0..1..0..0....2..2..1..2....0..2..2..0....1..2..1..0
%Y A223126 Column 1 is A007051(n-1)
%Y A223126 Row 1 is A222848
%K A223126 nonn,tabl
%O A223126 1,3
%A A223126 _R. H. Hardin_ Mar 15 2013