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A252338 Number of (n+2)X(3+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4 1

%I #4 Dec 16 2014 20:11:53

%S 234,810,2978,10154,34894,120474,413478,1423482,4910062,16902314,

%T 58156234,200254002,689660322,2374561330,8175197942,28147732742,

%U 96918297378,333703130278,1148964344370,3955983666942,13620906393306

%N Number of (n+2)X(3+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4

%C Column 3 of A252343

%H R. H. Hardin, <a href="/A252338/b252338.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +12*a(n-3) +32*a(n-4) +44*a(n-5) +37*a(n-6) -32*a(n-7) -81*a(n-8) -12*a(n-9) +47*a(n-10) +38*a(n-11) +8*a(n-12) -6*a(n-13) -4*a(n-14) -4*a(n-15) for n>17

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2014

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Last modified April 23 16:38 EDT 2024. Contains 371916 sequences. (Running on oeis4.)