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A255084 Number of (n+2)X(1+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0 1

%I #4 Feb 14 2015 10:43:34

%S 108,265,623,1483,3658,8830,21442,51939,125961,305879,742809,1803332,

%T 4375230,10620310,25781121,62583760,151913810,368742077,895059804,

%U 2172650028,5273900506,12801714866,31074374291,75428919286,183094180876

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

%C Column 1 of A255091

%H R. H. Hardin, <a href="/A255084/b255084.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +4*a(n-3) +5*a(n-4) +5*a(n-5) +a(n-6) -14*a(n-7) -47*a(n-8) -17*a(n-9) +7*a(n-10) +29*a(n-11) +17*a(n-12) +26*a(n-13) +21*a(n-14) -10*a(n-15) +3*a(n-16) -2*a(n-17) -3*a(n-18) +a(n-19) -a(n-20) for n>23

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A255091

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 14 2015

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)