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A266861 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north or southwest neighbor modulo n and the upper left element equal to 0. 6

%I

%S 1,1,0,1,0,1,1,0,4,2,1,0,17,39,9,1,0,66,999,1281,44,1,0,324,31501,

%T 328701,67240,265,1,0,1565,1115170,104767812,200359723,5126572,1854,1,

%U 0,7908,41983402,37478933496,781538349425,215846101578,531096757,14833,1,0

%N T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north or southwest neighbor modulo n and the upper left element equal to 0.

%C Table starts

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

%C ...0.......0............0.................0................0..............0

%C ...1.......4...........17................66..............324...........1565

%C ...2......39..........999.............31501..........1115170.......41983402

%C ...9....1281.......328701.........104767812......37478933496.14445711101455

%C ..44...67240....200359723......781538349425.3543965467781564

%C .265.5126572.215846101578.12529121512138533

%H R. H. Hardin, <a href="/A266861/b266861.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=4 k=4

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

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

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

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

%Y Column 1 is A000166(n-1).

%K nonn,tabl

%O 1,9

%A _R. H. Hardin_, Jan 04 2016

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Last modified January 19 09:45 EST 2021. Contains 340269 sequences. (Running on oeis4.)