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A251773 Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum 3 or 6 and every diagonal and antidiagonal sum not 3 or 6 1

%I

%S 1142,4182,12242,34934,132886,430730,1317638,5134774,17297338,

%T 54845894,214950374,737930314,2379309302,9343006742,32366662250,

%U 105198487910,413404292870,1438370382314,4692860538998,18447924909462,64319132350250

%N Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum 3 or 6 and every diagonal and antidiagonal sum not 3 or 6

%C Column 2 of A251779

%H R. H. Hardin, <a href="/A251773/b251773.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +82*a(n-3) -82*a(n-4) -2074*a(n-6) +2074*a(n-7) +19954*a(n-9) -19954*a(n-10) -70907*a(n-12) +70907*a(n-13) -8204*a(n-15) +8204*a(n-16) +575830*a(n-18) -575830*a(n-19) -914592*a(n-21) +914592*a(n-22) -424248*a(n-24) +424248*a(n-25) +1366560*a(n-27) -1366560*a(n-28) -172800*a(n-30) +172800*a(n-31)

%e Some solutions for n=4

%e ..0..3..0..0....0..2..1..3....3..2..1..3....0..1..2..0....3..0..3..3

%e ..0..1..2..3....3..1..2..3....0..1..2..0....0..2..1..3....3..1..2..3

%e ..3..2..1..0....0..3..0..0....3..3..0..0....3..3..0..0....0..2..1..0

%e ..0..0..3..3....3..2..1..3....0..2..1..3....3..1..2..3....3..0..3..3

%e ..0..1..2..0....0..1..2..0....3..1..2..3....0..2..1..0....3..1..2..0

%e ..3..2..1..0....0..3..0..3....0..3..3..0....3..3..0..3....0..2..1..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 08 2014

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Last modified July 21 17:20 EDT 2019. Contains 325198 sequences. (Running on oeis4.)