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A256744 Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 3 and no antidiagonal sum 3 and no row sum 0 and no column sum 0 1

%I #4 Apr 09 2015 14:43:10

%S 2065,2512,3752,5888,10360,18688,33616,61568,112928,209024,394816,

%T 732800,1397888,2665088,5068544,9757312,18928128,36301440,71073280,

%U 138021504,269741056,527544960,1039244800,2031272576,4023613440,7901280896

%N Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 3 and no antidiagonal sum 3 and no row sum 0 and no column sum 0

%C Column 4 of A256748

%H R. H. Hardin, <a href="/A256744/b256744.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-2) +8*a(n-3) -14*a(n-4) -52*a(n-5) -8*a(n-6) +88*a(n-7) +96*a(n-8) -32*a(n-9) -128*a(n-10) for n>14

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A256748

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2015

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Last modified September 9 20:10 EDT 2024. Contains 375765 sequences. (Running on oeis4.)