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A183477 Number of nX3 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors 1

%I

%S 5,39,117,587,2925,12131,58333,270611,1220877,5724163,26403017,

%T 121544939,564597457,2608586447,12062272841,55880316803,258485374601,

%U 1196311279235,5538446306557,25631318490835,118643423750561,549199683026799

%N Number of nX3 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors

%C Column 3 of A183483

%H R. H. Hardin, <a href="/A183477/b183477.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=8*a(n-1)-18*a(n-2)+84*a(n-3)-579*a(n-4)+1348*a(n-5)-3464*a(n-6)+18376*a(n-7)-41015*a(n-8)+79527*a(n-9)-334512*a(n-10)+695496*a(n-11)-1111399*a(n-12)+3876831*a(n-13)-7441854*a(n-14)+10184221*a(n-15)-30655065*a(n-16)+54160710*a(n-17)-64701205*a(n-18)+173693460*a(n-19)-281900303*a(n-20)+296755925*a(n-21)-730333225*a(n-22)+1086432175*a(n-23)-1011789825*a(n-24)+2336474256*a(n-25)-3177451713*a(n-26)+2619035208*a(n-27)-5787685442*a(n-28)+7177420278*a(n-29)-5223552815*a(n-30)+11228646436*a(n-31)-12673488056*a(n-32)+8097165320*a(n-33)-17162050486*a(n-34)+17603349821*a(n-35)-9768296437*a(n-36)+20663234591*a(n-37)-19224576837*a(n-38)+9099536459*a(n-39)-19470134294*a(n-40)+16378130019*a(n-41)-6427344807*a(n-42)+14168986173*a(n-43)-10725609446*a(n-44)+3343950376*a(n-45)-7805973809*a(n-46)+5287675974*a(n-47)-1227503579*a(n-48)+3163113462*a(n-49)-1907177092*a(n-50)+293721475*a(n-51)-900778627*a(n-52)+482493019*a(n-53)-34626683*a(n-54)+165703644*a(n-55)-80150140*a(n-56)-3548276*a(n-57)-16126436*a(n-58)+7908948*a(n-59)+2463356*a(n-60)+267632*a(n-61)-411136*a(n-62)-464048*a(n-63)+49264*a(n-64)+9792*a(n-65)+28416*a(n-66)

%e Some solutions for 4X3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2011

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Last modified October 26 22:19 EDT 2021. Contains 348269 sequences. (Running on oeis4.)