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A252636 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7 1

%I #4 Dec 19 2014 11:31:16

%S 3162,8253,29463,95904,395940,1504636,5124134,21431528,82893234,

%T 292817550,1230551308,4802902204,17419191296,73465113332,288429221652,

%U 1065039430488,4502736844068,17743381508580,66283907402424

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

%C Column 4 of A252640

%H R. H. Hardin, <a href="/A252636/b252636.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 145*a(n-3) -7116*a(n-6) +136668*a(n-9) -902360*a(n-12) +4683424*a(n-15) -17197984*a(n-18) +26472832*a(n-21) -12749824*a(n-24) +720896*a(n-27) for n>35

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014

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Last modified May 30 17:56 EDT 2024. Contains 372971 sequences. (Running on oeis4.)