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A252059 Number of (n+2)X(2+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 4 1

%I #6 Dec 13 2014 16:57:50

%S 200,346,817,2081,5610,15593,43618,122839,347075,981466,2777062,

%T 7859985,22247952,62976844,178273840,504659106,1428597686,4044117989,

%U 11448226797,32408025216,91741786804,259705969673,735184974976,2081188160674

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

%C Column 2 of A252065

%H R. H. Hardin, <a href="/A252059/b252059.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -a(n-2) +10*a(n-3) -24*a(n-4) +a(n-5) -27*a(n-6) +62*a(n-7) +7*a(n-8) +27*a(n-9) -51*a(n-10) -2*a(n-11) -9*a(n-12) -37*a(n-13) -48*a(n-14) -a(n-15) +95*a(n-16) +85*a(n-17) +9*a(n-18) -55*a(n-19) -46*a(n-20) -16*a(n-21) -7*a(n-23) +6*a(n-24) +13*a(n-25) +13*a(n-26) +4*a(n-27) -5*a(n-28) -3*a(n-29) -2*a(n-30) for n>32

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 13 2014

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Last modified April 17 22:02 EDT 2024. Contains 371767 sequences. (Running on oeis4.)