|
%I #5 Mar 31 2012 12:36:28
%S 1,1,1,2,7,2,3,18,18,3,5,55,74,55,5,8,163,384,384,163,8,13,484,1880,
%T 3477,1880,484,13,21,1439,9274,30071,30071,9274,1439,21,34,4275,45843,
%U 259856,457357,259856,45843,4275,34,55,12704,226260,2253537,6929744,6929744
%N T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,4,0,0,1 for x=0,1,2,3,4
%C Every 0 is next to 0 4's, every 1 is next to 1 4's, every 2 is next to 2 0's, every 3 is next to 3 0's, every 4 is next to 4 1's
%C Table starts
%C ..1.....1.......2..........3............5..............8................13
%C ..1.....7......18.........55..........163............484..............1439
%C ..2....18......74........384.........1880...........9274.............45843
%C ..3....55.....384.......3477........30071.........259856...........2253537
%C ..5...163....1880......30071.......457357........6929744.........105551542
%C ..8...484....9274.....259856......6929744......183439730........4886330995
%C .13..1439...45843....2253537....105551542.....4886330995......227951140324
%C .21..4275..226260...19514155...1604683081...129901784708....10611747125529
%C .34.12704.1117379..169056920..24408630177..3454992362269...494205872758082
%C .55.37749.5517062.1464412705.371223947273.91881627486594.23013994189839780
%H R. H. Hardin, <a href="/A197098/b197098.txt">Table of n, a(n) for n = 1..220</a>
%e Some solutions containing all values 0 to 4 for n=6 k=4
%e ..2..0..3..0....0..0..0..0....2..0..1..0....2..0..0..2....0..1..0..0
%e ..0..1..0..0....0..0..3..2....0..1..4..1....0..0..1..0....1..4..1..2
%e ..1..4..1..2....3..0..0..0....0..0..1..0....2..1..4..1....0..1..0..0
%e ..0..1..0..0....0..1..0..3....3..0..3..0....0..0..1..0....3..0..2..2
%e ..2..2..0..3....1..4..1..0....0..3..0..3....2..2..0..3....0..2..2..0
%e ..0..0..0..0....0..1..0..0....0..2..0..0....0..2..0..0....0..2..0..0
%Y Column 1 is A000045
%K nonn,tabl
%O 1,4
%A _R. H. Hardin_ Oct 10 2011
|
