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

%I #4 Dec 16 2014 17:29:22

%S 4197,1918,2493,6011,18820,62915,214325,735703,2536027,8732521,

%T 30044845,103433765,356211933,1226556113,4222869979,14539252073,

%U 50061142569,172368826263,593481176363,2043402198747,7035653625011,24224571440057

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

%C Column 3 of A252321

%H R. H. Hardin, <a href="/A252316/b252316.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-2) +13*a(n-3) +46*a(n-4) +89*a(n-5) +125*a(n-6) +81*a(n-7) -32*a(n-8) -87*a(n-9) -78*a(n-10) -9*a(n-11) +68*a(n-12) +41*a(n-13) -53*a(n-14) -131*a(n-15) -95*a(n-16) +24*a(n-17) +84*a(n-18) +78*a(n-19) +8*a(n-20) -81*a(n-21) -87*a(n-22) -36*a(n-23) +6*a(n-24) +14*a(n-25) +8*a(n-26) +4*a(n-27) for n>34

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2014