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A234048 Number of (n+2)X(2+2) 0..2 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards 1

%I

%S 367857,23857470,1539009351,99212997474,6394339767384,412103073094182,

%T 26558983814358231,1711654696378761309,110311461832541189823,

%U 7109271133417204927092,458173012831298037527661

%N Number of (n+2)X(2+2) 0..2 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards

%C Column 2 of A234054

%H R. H. Hardin, <a href="/A234048/b234048.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 69*a(n-1) -243*a(n-2) -3195*a(n-3) +45450*a(n-4) -3377223*a(n-5) +13020183*a(n-6) +87610410*a(n-7) -262435788*a(n-8) +37477857357*a(n-9) -118903287015*a(n-10) -1724627440638*a(n-11) +5305040957610*a(n-12) +12951837486306*a(n-13) -33077263686885*a(n-14) +267864986817333*a(n-15) -971490819127023*a(n-16) -2002144655318607*a(n-17) +5439464314270857*a(n-18) -16108242267701907*a(n-19) +68846062460367519*a(n-20) +86447485425745647*a(n-21) -196761424216309335*a(n-22) +317783593180780155*a(n-23) -1851826914604279062*a(n-24) -1421201291408295246*a(n-25) +974079693377865387*a(n-26) -1567611637921805427*a(n-27) +14762676149765365104*a(n-28) +13884658116551976258*a(n-29) +2502053933245446060*a(n-30) +8640380554467341742*a(n-31) -32359318200439307424*a(n-32) -32647033593981906993*a(n-33) -5488696636695719622*a(n-34) -12880729696315052799*a(n-35) +30563211705488256312*a(n-36) +35460217898397207972*a(n-37) -8538717030229283328*a(n-38) -9606056659007943744*a(n-39)

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2013

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Last modified July 1 22:23 EDT 2022. Contains 354984 sequences. (Running on oeis4.)