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A196636 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 1,3,2,0,4 for x=0,1,2,3,4 8

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

%S 1,1,1,1,2,1,1,5,5,1,1,10,21,10,1,1,26,62,62,26,1,1,65,232,327,232,65,

%T 1,1,161,780,1927,1927,780,161,1,1,403,2716,10708,17278,10708,2716,

%U 403,1,1,1006,9427,61040,152925,152925,61040,9427,1006,1,1,2511,32612,344949

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

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

%C Table starts

%C .1....1......1........1.........1...........1.............1...............1

%C .1....2......5.......10........26..........65...........161.............403

%C .1....5.....21.......62.......232.........780..........2716............9427

%C .1...10.....62......327......1927.......10708.........61040..........344949

%C .1...26....232.....1927.....17278......152925.......1339251........11820065

%C .1...65....780....10708....152925.....2140040......29718190.......415475619

%C .1..161...2716....61040...1339251....29718190.....651323279.....14313363492

%C .1..403...9427...344949..11820065...415475619...14313363492....497248017421

%C .1.1006..32612..1953280.103936104..5791281872..314536084653..17247507478680

%C .1.2511.113008.11058838.915486074.80883758124.6918341058099.598955597283389

%H R. H. Hardin, <a href="/A196636/b196636.txt">Table of n, a(n) for n = 1..220</a>

%e Some solutions for n=6 k=4

%e ..0..0..3..0....0..3..0..0....0..0..3..0....0..0..3..0....2..2..2..0

%e ..3..0..0..0....3..0..0..0....0..0..0..3....0..0..0..0....2..0..2..0

%e ..0..0..3..0....0..0..0..0....2..2..2..0....0..3..0..3....2..2..2..0

%e ..0..0..3..0....0..3..3..0....2..0..2..2....0..3..0..0....0..0..0..3

%e ..3..0..0..3....3..0..0..3....2..2..0..2....3..0..0..3....2..2..0..0

%e ..0..0..0..0....0..3..0..0....0..2..2..2....0..0..0..0....2..2..0..0

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Oct 04 2011

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Last modified May 27 17:52 EDT 2024. Contains 372880 sequences. (Running on oeis4.)