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A183477
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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
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1
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5, 39, 117, 587, 2925, 12131, 58333, 270611, 1220877, 5724163, 26403017, 121544939, 564597457, 2608586447, 12062272841, 55880316803, 258485374601, 1196311279235, 5538446306557, 25631318490835, 118643423750561, 549199683026799
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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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)
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EXAMPLE
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Some solutions for 4X3
..1..1..0....1..1..1....0..2..2....1..1..0....1..1..0....2..2..0....1..1..0
..1..1..0....1..1..0....0..0..0....1..1..0....1..1..0....0..0..0....1..1..0
..1..1..0....2..2..2....1..0..2....0..0..0....2..2..0....1..0..0....0..0..0
..1..1..0....2..1..2....1..0..2....0..0..0....2..2..0....1..0..0....2..2..0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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