|
%I #5 Mar 31 2012 12:36:28
%S 1,1,1,2,5,2,3,10,10,3,4,23,41,23,4,6,58,150,150,58,6,9,144,665,969,
%T 665,144,9,13,363,2695,7172,7172,2695,363,13,19,917,11424,50864,92206,
%U 50864,11424,917,19,28,2321,47528,367813,1096217,1096217,367813,47528,2321,28
%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 2,2,1,0,0 for x=0,1,2,3,4
%C Every 0 is next to 0 2's, every 1 is next to 1 2's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 0's
%C Table starts
%C ..1....1......2.........3...........4.............6...............9
%C ..1....5.....10........23..........58...........144.............363
%C ..2...10.....41.......150.........665..........2695...........11424
%C ..3...23....150.......969........7172.........50864..........367813
%C ..4...58....665......7172.......92206.......1096217........13530178
%C ..6..144...2695.....50864.....1096217......22335117.......467923636
%C ..9..363..11424....367813....13530178.....467923636.....16686610707
%C .13..917..47528...2646379...164914460....9715240362....589208849137
%C .19.2321.199485..19073997..2020163498..202416969329..20885016359231
%C .28.5878.834267.137434440.24703508188.4212994659413.739404634476424
%H R. H. Hardin, <a href="/A197180/b197180.txt">Table of n, a(n) for n = 1..219</a>
%e Some solutions containing all values 0 to 4 for n=6 k=4
%e ..0..0..0..0....0..1..2..1....2..1..0..0....0..0..0..0....1..0..0..0
%e ..0..4..0..3....0..1..2..1....1..0..4..0....0..0..0..0....2..3..0..0
%e ..3..0..3..0....3..0..3..0....0..3..0..0....3..0..0..3....1..0..4..0
%e ..0..1..2..1....0..4..0..0....1..1..0..3....0..0..4..0....0..0..0..0
%e ..3..0..3..0....0..0..4..0....2..2..3..0....1..0..0..1....0..3..0..3
%e ..0..3..0..0....0..3..0..0....1..1..0..0....2..1..1..2....1..2..1..0
%Y Column 1 is A000930
%K nonn,tabl
%O 1,4
%A _R. H. Hardin_ Oct 11 2011
|
