A219629 - OEIS

%I #4 Nov 24 2012 08:30:10

%S 10,27,130,582,2109,6637,19166,51491,130209,312797,719186,1591856,

%T 3407212,7077248,14307047,28216156,54398922,102703127,190166090,

%U 345789073,618191311,1087715590,1885328230,3221762398,5431921305

%N Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 3Xn array

%C Row 3 of A219627

%H R. H. Hardin, <a href="/A219629/b219629.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/20922789888000)*n^16 + (1/523069747200)*n^15 - (127/1046139494400)*n^14 + (79/18681062400)*n^13 + (8441/114960384000)*n^12 - (18343/2874009600)*n^11 + (1687829/7315660800)*n^10 - (3838547/914457600)*n^9 + (5697677311/146313216000)*n^8 + (12383887/74649600)*n^7 - (52929867649/5748019200)*n^6 + (86740702999/718502400)*n^5 - (117558072292519/145297152000)*n^4 + (9685884755689/3632428800)*n^3 - (248063317553/201801600)*n^2 - (269195161/16016)*n + 33755 for n>9

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 24 2012