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A252683 Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7 1

%I #4 Dec 20 2014 12:59:36

%S 1010,1677,4298,7747,26744,78851,147462,519311,1555755,2915082,

%T 10313664,30980483,58079774,205778379,618405463,1159066270,4109895588,

%U 12351404831,23142304030,82115735795,246768222195,462191279878,1641080449028

%N Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7

%C Row 4 of A252679

%H R. H. Hardin, <a href="/A252683/b252683.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 45*a(n-3) -591*a(n-6) +1616*a(n-9) +5316*a(n-12) -24526*a(n-15) +2476*a(n-18) +88284*a(n-21) -67519*a(n-24) -126947*a(n-27) +143243*a(n-30) +52204*a(n-33) -73468*a(n-36) -2196*a(n-39) +2064*a(n-42) for n>46

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2014

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Last modified September 16 11:35 EDT 2024. Contains 375965 sequences. (Running on oeis4.)