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A255799 Number of (n+2) X (6+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3. 1

%I

%S 1318,472,258,263,290,214,270,358,322,419,486,334,434,622,550,731,878,

%T 574,762,1150,1006,1355,1662,1054,1418,2206,1918,2603,3230,2014,2730,

%U 4318,3742,5099,6366,3934,5354,8542,7390,10091,12638,7774,10602,16990

%N Number of (n+2) X (6+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3.

%H R. H. Hardin, <a href="/A255799/b255799.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-6) - 2*a(n-12) for n>15.

%F Empirical g.f.: x*(1318 + 472*x + 258*x^2 + 263*x^3 + 290*x^4 + 214*x^5 - 3684*x^6 - 1058*x^7 - 452*x^8 - 370*x^9 - 384*x^10 - 308*x^11 + 2260*x^12 + 492*x^13 + 100*x^14) / ((1 - x)*(1 + x)*(1 - x + x^2)*(1 + x + x^2)*(1 - 2*x^6)). - _Colin Barker_, Dec 20 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 6 of A255801.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 06 2015

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Last modified August 17 05:07 EDT 2022. Contains 356184 sequences. (Running on oeis4.)