A233801 - OEIS

%I #4 Dec 16 2013 06:59:30

%S 169840,7949773,7959956,371832256,1231134446,365649436,17394286865,

%T 192011782168,184701585960,16782644101,812933550972,29957246808751,

%U 94758748460662,27653665556487,768927679996,37996849382405

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no increasing sequence of length 3 horizontally, vertically or antidiagonally downwards

%C Table starts

%C .......169840..........7949773............371832256..............17394286865

%C ......7959956.......1231134446.........192011782168...........29957246808751

%C ....365649436.....184701585960.......94758748460662........48635344266106500

%C ..16782644101...27653665556487....46594846574940781.....78542994416390783342

%C .768927679996.4128363478149117.22806671303330767604.126052094387188030034149

%H R. H. Hardin, <a href="/A233801/b233801.txt">Table of n, a(n) for n = 1..71</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 54]

%F Empirical for row n:

%F n=1: [linear recurrence of order 60]

%e Some solutions for n=1 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 16 2013