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Number of (6+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7
1

%I #4 Dec 18 2014 09:54:51

%S 3761,16327,93997,242136,1818662,11035929,28350064,216831038,

%T 1329037293,3382609190,26245219961,162112063819,409459673087,

%U 3214375284653,19969005645582,50132403166124,397156279282899,2478165770954465

%N Number of (6+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7

%C Row 6 of A252558

%H R. H. Hardin, <a href="/A252564/b252564.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 235*a(n-3) -15377*a(n-6) +231134*a(n-9) -2810947*a(n-12) +23472227*a(n-15) -127442070*a(n-18) +618426102*a(n-21) -1174418266*a(n-24) +287094995*a(n-27) +1098948151*a(n-30) -697123678*a(n-33) -202978930*a(n-36) +197586425*a(n-39) -20970000*a(n-42) for n>49

%e Some solutions for n=3

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2014