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A187597 Number of (n+2)X3 0..2 arrays with no 2X2 subblock sum equal to any diagonal or antidiagonal neighbor 2X2 subblock sum 1

%I #8 Mar 31 2012 12:36:08

%S 12780,226450,4034228,71799716,1277660426,22737087954,404628180446,

%T 7200721963324,128143309080518,2280425597710644,40582226931510876,

%U 722197265643541486,12852150564182578146,228715590684800201626

%N Number of (n+2)X3 0..2 arrays with no 2X2 subblock sum equal to any diagonal or antidiagonal neighbor 2X2 subblock sum

%C Column 1 of A187600

%H R. H. Hardin, <a href="/A187597/b187597.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=16*a(n-1)+71*a(n-2)-616*a(n-3)-904*a(n-4)-8872*a(n-5)-33989*a(n-6)+574033*a(n-7)+775616*a(n-8)-1883974*a(n-9)+296483*a(n-10)-140181657*a(n-11)-875706*a(n-12)+954733113*a(n-13)-1591286403*a(n-14)+10945523532*a(n-15)-7290946508*a(n-16)-11915786428*a(n-17)+293395191936*a(n-18)-1069937952350*a(n-19)+976880404058*a(n-20)-4609467966964*a(n-21)-19659039033474*a(n-22)+64696670680992*a(n-23)-58191888492780*a(n-24)+255055177972890*a(n-25)+464129282692630*a(n-26)-1035318571998296*a(n-27)+1491624580366724*a(n-28)-6718008533638416*a(n-29)-3137102050636752*a(n-30)+5177167170880944*a(n-31)-22119543601823344*a(n-32)+66719496830128864*a(n-33)+8733737760065408*a(n-34)+5348763177296128*a(n-35)+162543746480293248*a(n-36)-398066720734596096*a(n-37)-170440078680101376*a(n-38)+375109194090386432*a(n-39)+74923671663790080*a(n-40)+288125979181375488*a(n-41)-506110954365198336*a(n-42)-167331252967759872*a(n-43)+400191961922813952*a(n-44)-44554431815811072*a(n-45)-121626085508775936*a(n-46)+65214074008240128*a(n-47)-13017224586461184*a(n-48)+525044724793344*a(n-49)

%e Some solutions for 4X3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 11 2011

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Last modified June 19 09:37 EDT 2024. Contains 373501 sequences. (Running on oeis4.)