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A252145 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7 1

%I

%S 14578,5511,9443,8391,18757,16958,44234,36963,101771,83289,245182,

%T 191088,595263,447379,1472751,1077415,3674855,2624162,9274947,6472339,

%U 23552909,16189347,60172846,40822352,154579992,103680895,398494810,265238393

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

%C Column 5 of A252148

%H R. H. Hardin, <a href="/A252145/b252145.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-2) +3*a(n-3) +a(n-4) -9*a(n-5) -2*a(n-6) -3*a(n-7) -6*a(n-8) +3*a(n-9) -8*a(n-10) +27*a(n-11) +3*a(n-12) +27*a(n-13) +2*a(n-14) -12*a(n-15) -33*a(n-17) +a(n-18) -27*a(n-19) +6*a(n-20) +9*a(n-21) +8*a(n-22) +15*a(n-23) -2*a(n-24) +3*a(n-25) -5*a(n-26) -3*a(n-27) -a(n-28) +a(n-30) for n>38

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014

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Last modified January 19 04:56 EST 2022. Contains 350464 sequences. (Running on oeis4.)