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A203545 Number of nX3 0..4 arrays with every nonzero element less than or equal to some NW, E or S neighbor 1

%I

%S 1,430,32920,1525965,67657718,3251156731,158110806032,7562825772263,

%T 360535774171808,17242013392084148,825260285534078027,

%U 39475734898738185758,1887913854619856899927,90299119197636883779446

%N Number of nX3 0..4 arrays with every nonzero element less than or equal to some NW, E or S neighbor

%C Column 3 of A203550

%H R. H. Hardin, <a href="/A203545/b203545.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 123*a(n-1) -6624*a(n-2) +232336*a(n-3) -6080648*a(n-4) +121676966*a(n-5) -1868615201*a(n-6) +22387963308*a(n-7) -214717844908*a(n-8) +1691861819145*a(n-9) -11191442460825*a(n-10) +63219108066009*a(n-11) -309164051565229*a(n-12) +1321796941127872*a(n-13) -4961324907615666*a(n-14) +16320261542990847*a(n-15) -46804084814900355*a(n-16) +116442440341361329*a(n-17) -250769573867376297*a(n-18) +467917696390546225*a(n-19) -758122812309032702*a(n-20) +1067163197403012168*a(n-21) -1300368495003475068*a(n-22) +1359464763888105924*a(n-23) -1202815292959908360*a(n-24) +885335373771933648*a(n-25) -531402528343591584*a(n-26) +254073967382736576*a(n-27) -93956445379151424*a(n-28) +25800031315475136*a(n-29) -4937126981521536*a(n-30) +586263796939008*a(n-31) -32469600840192*a(n-32) for n>33

%e Some solutions for n=5

%e ..3..4..1....1..3..2....2..4..3....3..0..0....1..4..0....1..2..4....1..2..0

%e ..2..4..2....0..4..3....3..4..3....3..4..2....4..4..4....3..3..4....1..4..3

%e ..3..4..3....4..4..3....3..4..1....3..4..2....0..1..1....0..4..4....4..4..3

%e ..4..4..3....2..4..1....2..4..3....2..4..2....3..2..0....2..4..4....0..4..3

%e ..1..4..3....1..4..4....2..4..4....1..4..4....3..3..0....0..4..4....2..2..3

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 02 2012

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Last modified October 18 13:47 EDT 2021. Contains 348068 sequences. (Running on oeis4.)