A196456 - OEIS

%I #5 Mar 31 2012 12:36:26

%S 1,3,3,4,6,4,5,14,14,5,8,30,40,30,8,12,67,131,131,67,12,17,146,383,

%T 594,383,146,17,25,320,1232,2930,2930,1232,320,25,37,706,3966,15274,

%U 27320,15274,3966,706,37,54,1550,12314,76809,249402,249402,76809,12314,1550,54

%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 3,0,2,4,1 for x=0,1,2,3,4

%C Every 0 is next to 0 3's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 4's, every 4 is next to 4 1's

%C Table starts

%C ..1....3......4.......5..........8..........12............17..............25

%C ..3....6.....14......30.........67.........146...........320.............706

%C ..4...14.....40.....131........383........1232..........3966...........12314

%C ..5...30....131.....594.......2930.......15274.........76809..........380093

%C ..8...67....383....2930......27320......249402.......2032584........15952022

%C .12..146...1232...15274.....249402.....3707781......46887621.......578160718

%C .17..320...3966...76809....2032584....46887621.....926499600.....17962317556

%C .25..706..12314..380093...15952022...578160718...17962317556....539621963877

%C .37.1550..38745.1900745..128543371..7394096617..351103877665..16067939829696

%C .54.3403.122989.9527317.1060801262.96338727461.6945098996988.486076221745274

%H R. H. Hardin, <a href="/A196456/b196456.txt">Table of n, a(n) for n = 1..161</a>

%e Some solutions for n=6 k=4

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

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

%e ..1..1..4..1....2..2..1..0....2..2..0..0....2..2..2..0....0..0..2..2

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

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

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

%Y Column 1 is A179070(n+2)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Oct 02 2011