cp's OEIS Frontend

A267629 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any west neighbor modulo n and the upper left element equal to 0.

%I A267629 #6 Aug 12 2016 06:55:35
%S A267629 1,1,1,1,3,2,1,10,7,6,1,35,39,27,24,1,126,265,208,138,120,1,462,1802,
%T A267629 2386,1576,900,720,1,1716,12239,32208,29387,14830,7110,5040,1,6435,
%U A267629 84614,445970,679735,469605,168500,66150,40320,1,24310,597601,6039160,17761798
%N A267629 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any west neighbor modulo n and the upper left element equal to 0.
%C A267629 Table starts
%C A267629 ......1.......1.........1..........1...........1...........1...........1
%C A267629 ......1.......3........10.........35.........126.........462........1716
%C A267629 ......2.......7........39........265........1802.......12239.......84614
%C A267629 ......6......27.......208.......2386.......32208......445970.....6039160
%C A267629 .....24.....138......1576......29387......679735....17761798...490407156
%C A267629 ....120.....900.....14830.....469605....19027506...873319806.44064461220
%C A267629 ....720....7110....168500....8889180...651123366.54381881627
%C A267629 ...5040...66150...2247280..196362845.25708254936
%C A267629 ..40320..708120..34423760.4969038690
%C A267629 .362880.8573040.596248800
%H A267629 R. H. Hardin, <a href="/A267629/b267629.txt">Table of n, a(n) for n = 1..83</a>
%e A267629 Some solutions for n=4 k=4
%e A267629 ..0..0..1..1....0..1..2..2....0..1..2..3....0..1..2..2....0..1..2..3
%e A267629 ..1..2..2..3....1..2..3..0....3..0..1..1....2..3..3..3....2..2..2..3
%e A267629 ..2..3..3..0....3..3..0..1....2..2..3..0....0..1..2..3....0..1..1..1
%e A267629 ..2..3..0..1....3..0..1..2....1..2..3..0....0..0..1..1....3..3..0..0
%Y A267629 Column 1 is A000142(n-1).
%Y A267629 Row 2 is A001700(n-1).
%Y A267629 Row 3 is A266310.
%K A267629 nonn,tabl
%O A267629 1,5
%A A267629 _R. H. Hardin_, Jan 18 2016