A222573 - OEIS

%I #4 Feb 25 2013 05:55:26

%S 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 435,500,200,365,70,292,1500,3516,4790,5210,820,1094,89,1318,3999,

%U 25441,30766,50535,20889,3014,3281,326,3640,46250,212957,543064,881766,547563

%N 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 Table starts

%C .....1......1.........1..........4...........5...........14...........17

%C .....2......1.........5.........10..........25..........128..........292

%C .....5......5........11.........56.........134.........1500.........3999

%C ....14.....18.......120........435........3516........25441.......212957

%C ....41.....59.......500.......4790.......30766.......543064......4102865

%C ...122....200......5210......50535......881766.....14120189....278335019

%C ...365....820.....20889.....547563.....9004283....406233879...7240361264

%C ..1094...3014....229894....5815939...287554360..12231597130.617491399888

%C ..3281..11364....913405...63130202..2996904309.379056994144

%C ..9842..42748..10427244..676152734.97314847813

%C .29525.164652..40896923.7328771224

%C .88574.627034.479942958

%H R. H. Hardin, <a href="/A222573/b222573.txt">Table of n, a(n) for n = 1..110</a>

%e Some solutions for n=3 k=4

%e ..0..0..0..0....0..1..1..1....0..0..0..0....0..0..1..1....0..0..1..1

%e ..0..0..0..0....2..1..1..1....0..0..0..0....1..1..1..1....0..0..1..1

%e ..1..2..0..0....2..1..1..1....1..0..0..1....1..1..1..1....0..0..1..1

%Y Column 1 is A007051(n-1)

%Y Row 1 is A222364

%K nonn,tabl

%O 1,3

%A _R. H. Hardin_ Feb 25 2013