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A257446 Number of (n+2) X (7+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 1 and no column sum 1. 1

%I #8 Dec 21 2018 20:03:35

%S 128,134,143,155,173,200,239,296,380,503,683,947,1334,1901,2732,3950,

%T 5735,8351,12185,17804,26039,38108,55796,81719,119711,175391,256994,

%U 376589,551864,808742,1185215,1736963,2545589,3730688,5467535,8013008

%N Number of (n+2) X (7+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 1 and no column sum 1.

%H R. H. Hardin, <a href="/A257446/b257446.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) - a(n-2) + a(n-3) - a(n-4).

%F Empirical g.f.: x*(128 - 122*x + 3*x^2 - 125*x^3) / ((1 - x)*(1 - x - x^3)). - _Colin Barker_, Dec 21 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 7 of A257447.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 23 2015

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)