A219168 - OEIS

%I #4 Nov 13 2012 08:46:22

%S 6,23,146,644,2399,8024,24670,70595,189703,482428,1168768,2712689,

%T 6060622,13086909,27406161,55822557,110863500,215126312,408605812,

%U 760846267,1390785936,2498695182,4416871050,7689045773,13193204903

%N Number of nX3 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nX3 array

%C Column 3 of A219173

%H R. H. Hardin, <a href="/A219168/b219168.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/3487131648000)*n^16 - (1/163459296000)*n^15 + (1/174356582400)*n^14 + (107/9340531200)*n^13 - (4799/19160064000)*n^12 + (2117/449064000)*n^11 - (8749/406425600)*n^10 + (6127/228614400)*n^9 + (83683631/24385536000)*n^8 + (8015627/163296000)*n^7 - (1747104083/958003200)*n^6 + (19176515419/718502400)*n^5 - (45857964298051/217945728000)*n^4 + (9130419742127/9081072000)*n^3 - (856729430749/302702400)*n^2 + (311014261/72072)*n - 2697 for n>6

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 13 2012