login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

T(n,k)=Number of nXk 0..3 arrays with row sums equal and column sums unequal to adjacent columns
12

%I #7 Mar 31 2012 12:36:54

%S 4,12,4,36,28,4,108,396,120,4,324,4904,4740,356,4,972,57100,191208,

%T 50716,1472,4,2916,690204,8536230,7788648,578696,4780,4,8748,8590508,

%U 396419436,1267847188,315135868,6829968,20228,4,26244,107540900,18828234948

%N T(n,k)=Number of nXk 0..3 arrays with row sums equal and column sums unequal to adjacent columns

%C Table starts

%C .4.....12........36..........108............324.............972...........2916

%C .4.....28.......396.........4904..........57100..........690204........8590508

%C .4....120......4740.......191208........8536230.......396419436....18828234948

%C .4....356.....50716......7788648.....1267847188....219705087676.39711390609500

%C .4...1472....578696....315135868...189412482924.122284278712812

%C .4...4780...6829968..13106373164.28369308592126

%C .4..20228..77256180.539443637988

%C .4..68724.900837948

%C .4.296256

%C .4

%H R. H. Hardin, <a href="/A203031/b203031.txt">Table of n, a(n) for n = 1..58</a>

%e Some.solutions.for.n=5.k=3

%e ..2..3..0....1..1..3....2..2..2....3..0..2....1..3..2....0..2..3....2..0..1

%e ..0..3..2....2..0..3....0..3..3....2..0..3....2..2..2....3..0..2....2..1..0

%e ..2..0..3....2..3..0....3..0..3....3..0..2....1..2..3....0..2..3....1..0..2

%e ..2..3..0....2..1..2....0..3..3....0..3..2....1..2..3....2..3..0....3..0..0

%e ..2..3..0....0..3..2....0..3..3....3..0..2....3..0..3....3..0..2....1..1..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Dec 27 2011