|
%I #4 Dec 11 2013 04:34:18
%S 178464,8840905,8840905,432047816,1542165988,432047816,21111771232,
%T 264110152411,264110152411,21111771232,1030570080608,45223720670867,
%U 157745111994988,45223720670867,1030570080608,50306732887149
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no increasing sequence of length 3 horizontally or vertically
%C Table starts
%C ........178464..........8840905............432047816..............21111771232
%C .......8840905.......1542165988.........264110152411...........45223720670867
%C .....432047816.....264110152411......157745111994988........94192817031882237
%C ...21111771232...45223720670867....94192817031882237....196122261590679299496
%C .1030570080608.7732943732414030.56144572756093218532.407469009947158776878785
%H R. H. Hardin, <a href="/A233480/b233480.txt">Table of n, a(n) for n = 1..60</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 54]
%e Some solutions for n=1 k=4
%e ..0..0..0..0..0..3....0..0..0..0..0..2....0..0..0..0..0..3....0..0..0..0..1..1
%e ..0..0..0..0..0..1....0..0..0..0..1..1....0..0..0..0..0..0....0..0..0..0..1..0
%e ..1..1..3..2..3..0....0..3..3..0..0..0....0..0..3..0..3..2....3..2..1..1..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 11 2013
| 