A202984 - OEIS

%I #5 Mar 31 2012 12:36:54

%S 1,323,16854,595202,21925060,838636921,31806596079,1202034287472,

%T 45502473476990,1723031444492823,65229144680968466,

%U 2469365733432760517,93485721339386285227,3539191690379523970536,133986438561970657310866

%N Number of nX4 0..2 arrays with every nonzero element less than or equal to some NW, E or S neighbor

%C Column 4 of A202988

%H R. H. Hardin, <a href="/A202984/b202984.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 81*a(n-1) -2650*a(n-2) +57534*a(n-3) -1006049*a(n-4) +14110042*a(n-5) -156374857*a(n-6) +1402546490*a(n-7) -10334764132*a(n-8) +62985132359*a(n-9) -322923725391*a(n-10) +1421986751544*a(n-11) -5431526055118*a(n-12) +18027170888654*a(n-13) -52074797977218*a(n-14) +130774015379513*a(n-15) -284194471655824*a(n-16) +533058630171692*a(n-17) -856584239568831*a(n-18) +1158365519069682*a(n-19) -1312541024650245*a(n-20) +1293014926780249*a(n-21) -1212934586216840*a(n-22) +1217489318140232*a(n-23) -1237465662520164*a(n-24) +1044800391623280*a(n-25) -676320450307792*a(n-26) +350467954059168*a(n-27) -248979873413760*a(n-28) +259811018830464*a(n-29) -152536902790464*a(n-30) +38173394664000*a(n-31) -7134333120000*a(n-32) +853776000000*a(n-33) for n>34

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 26 2011