A222666 - OEIS

%I #4 Feb 28 2013 06:57:13

%S 1,0,0,0,0,0,3,2,2,3,4,9,2,9,4,8,26,44,44,26,8,10,103,110,452,110,103,

%T 10,55,446,2686,4241,4241,2686,446,55,72,1964,7624,62406,45666,62406,

%U 7624,1964,72,294,8624,186400,1058776,2169240,2169240,1058776,186400,8624,294

%N T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order

%C Table starts

%C ....1......0.........0.............3..............4................8

%C ....0......0.........2.............9.............26..............103

%C ....0......2.........2............44............110.............2686

%C ....3......9........44...........452...........4241............62406

%C ....4.....26.......110..........4241..........45666..........2169240

%C ....8....103......2686.........62406........2169240.........85836756

%C ...10....446......7624.......1058776.......33001473.......4437593254

%C ...55...1964....186400......17374571.....2076266347.....258544501925

%C ...72...8624....568750.....288771291....33923371172...16020345244330

%C ..294..38467..13426930....4860565711..2217501880962.1025854594717790

%C ..378.172996..43148672...81668904553.36915666949865

%C .1883.781826.976797964.1371394427050

%H R. H. Hardin, <a href="/A222666/b222666.txt">Table of n, a(n) for n = 1..127</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A222269

%K nonn,tabl

%O 1,7

%A _R. H. Hardin_ Feb 28 2013