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%I #4 Nov 30 2013 18:54:06
%S 216,6664,168688,5659896,179149960,5458025808,172736599272,
%T 5399804456824,168429228245712,5276921551914936,164993390645974568,
%U 5159195831966053960,161399609092801846848,5047728239973514782688,157874475357742434287272
%N Number of (n+1)X(3+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally
%C Column 3 of A232839
%H R. H. Hardin, <a href="/A232835/b232835.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 15*a(n-1) +281*a(n-2) +8227*a(n-3) -21581*a(n-4) -158601*a(n-5) -7158381*a(n-6) -3987980*a(n-7) -71548987*a(n-8) -430803007*a(n-9) +837154777*a(n-10) -3661660987*a(n-11) +5859342317*a(n-12) +2778173683*a(n-13) -20355818757*a(n-14) +91119341964*a(n-15) -211037778164*a(n-16) +307976701502*a(n-17) -359885158016*a(n-18) -322203768360*a(n-19) +682995573288*a(n-20) +869890580304*a(n-21) -2965546300384*a(n-22) +5420239912768*a(n-23) -6826807576576*a(n-24) +3002880366336*a(n-25) +4049008968192*a(n-26) -11735742619648*a(n-27) +12009170051072*a(n-28) -3763733659648*a(n-29) -735262769152*a(n-30) +376502484992*a(n-31) -433194532864*a(n-32) +641795620864*a(n-33) -328124596224*a(n-34) +14998831104*a(n-35) +59995324416*a(n-36) -22280142848*a(n-37) +2147483648*a(n-38)
%e Some solutions for n=3
%e ..0..2..2..0....1..2..1..0....0..1..0..1....0..2..1..0....1..0..2..1
%e ..2..1..1..0....1..0..0..1....1..0..2..2....2..1..2..1....1..2..0..1
%e ..2..0..1..2....0..0..2..1....2..2..1..2....2..1..0..1....2..1..0..2
%e ..0..1..2..0....0..1..1..2....2..1..0..2....0..0..1..2....0..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 30 2013
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