A202574 - OEIS

%I #5 Mar 31 2012 12:36:49

%S 7343,56821,56821,447963,713977,447963,3525903,9145905,9145905,

%T 3525903,27425677,116710359,190831031,116710359,27425677,213463753,

%U 1467328435,3960376543,3960376543,1467328435,213463753,1666015233,18492393187

%N T(n,k)=Number of (n+3)X(k+3) binary arrays with no more than two of any consecutive four bits set in any row or column

%C Table starts

%C .........7343...........56821.............447963.............3525903

%C ........56821..........713977............9145905...........116710359

%C .......447963.........9145905..........190831031..........3960376543

%C ......3525903.......116710359.........3960376543........133595643125

%C .....27425677......1467328435........80702629805.......4416423552899

%C ....213463753.....18492393187......1650251537699.....146521400746907

%C ...1666015233....233878112373.....33893365153497....4884856784343255

%C ..12999566073...2956421289933....695679344750295..162753806260330153

%C .101412911113..37348720724845..14266522729384801.5417559503164734667

%C .790978473677.471748204134829.292506817718340157

%H R. H. Hardin, <a href="/A202574/b202574.txt">Table of n, a(n) for n = 1..83</a>

%e Some solutions for n=2 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Dec 21 2011