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A222573 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order.

%I A222573 #6 Jul 23 2025 02:46:54
%S A222573 1,1,2,1,1,5,4,5,5,14,5,10,11,18,41,14,25,56,120,59,122,17,128,134,
%T A222573 435,500,200,365,70,292,1500,3516,4790,5210,820,1094,89,1318,3999,
%U A222573 25441,30766,50535,20889,3014,3281,326,3640,46250,212957,543064,881766,547563
%N A222573 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order.
%C A222573 Table starts
%C A222573 .....1......1.........1..........4...........5...........14...........17
%C A222573 .....2......1.........5.........10..........25..........128..........292
%C A222573 .....5......5........11.........56.........134.........1500.........3999
%C A222573 ....14.....18.......120........435........3516........25441.......212957
%C A222573 ....41.....59.......500.......4790.......30766.......543064......4102865
%C A222573 ...122....200......5210......50535......881766.....14120189....278335019
%C A222573 ...365....820.....20889.....547563.....9004283....406233879...7240361264
%C A222573 ..1094...3014....229894....5815939...287554360..12231597130.617491399888
%C A222573 ..3281..11364....913405...63130202..2996904309.379056994144
%C A222573 ..9842..42748..10427244..676152734.97314847813
%C A222573 .29525.164652..40896923.7328771224
%C A222573 .88574.627034.479942958
%H A222573 R. H. Hardin, <a href="/A222573/b222573.txt">Table of n, a(n) for n = 1..110</a>
%e A222573 Some solutions for n=3 k=4
%e A222573 ..0..0..0..0....0..1..1..1....0..0..0..0....0..0..1..1....0..0..1..1
%e A222573 ..0..0..0..0....2..1..1..1....0..0..0..0....1..1..1..1....0..0..1..1
%e A222573 ..1..2..0..0....2..1..1..1....1..0..0..1....1..1..1..1....0..0..1..1
%Y A222573 Column 1 is A007051(n-1)
%Y A222573 Row 1 is A222364
%K A222573 nonn,tabl
%O A222573 1,3
%A A222573 _R. H. Hardin_ Feb 25 2013