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%I #4 Nov 28 2012 13:11:00
%S 10,13,71,283,959,2949,8533,23726,63982,168050,430665,1078155,2639677,
%T 6327977,14871221,34300242,77728419,173227386,380005949,821199928,
%U 1749471843,3676624578,7626635592,15623929531,31625042904,63277018190
%N Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 3Xn array
%C Row 3 of A219802
%H R. H. Hardin, <a href="/A219804/b219804.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/403291461126605635584000000)*n^26 - (1/2068161339110798131200000)*n^25 + (29/620448401733239439360000)*n^24 - (1/454540953650724864000)*n^23 - (101/14197903929822412800000)*n^22 + (59/6728025306562560000)*n^21 - (8299/12907185390747648000)*n^20 + (968323/40872753737367552000)*n^19 - (368826583/1290718539074764800000)*n^18 - (16686031/945581347307520000)*n^17 + (19443278053/16703416388026368000)*n^16 - (64743515129/1855935154225152000)*n^15 + (6041192860521617/10857220652217139200000)*n^14 - (41663224788137/55678054626754560000)*n^13 - (421359114004849/2087927048503296000)*n^12 + (15536367487631/2781121609728000)*n^11 - (827911471501311773/10083738586521600000)*n^10 + (1195916251346469329/1792664637603840000)*n^9 - (75870758012399927/85151570286182400)*n^8 - (338847924886252339/7008359694336000)*n^7 + (124222375757495584863323/195139015239168000000)*n^6 - (150159842739176337191/35739746380800000)*n^5 + (1094487803961523901641/65616920328960000)*n^4 - (41649841345888552111/865778809896000)*n^3 + (17329974993576419/105781245570)*n^2 - (1472956532697073/2677114440)*n + 794884 for n>14
%e Some solutions for n=3
%e ..1..1..1....2..2..2....2..2..2....2..0..0....1..0..0....3..1..1....0..0..0
%e ..1..1..1....1..1..1....2..2..2....1..0..0....1..0..0....3..1..1....0..0..0
%e ..3..3..3....1..1..1....3..3..3....1..1..1....2..2..2....3..3..3....1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 28 2012
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