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A255022 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 or 1 and no column sum 0 or 1 1

%I #4 Feb 13 2015 07:42:55

%S 117,405,1489,5077,17447,60237,206739,711741,2455031,8451157,29078117,

%T 100127001,344830161,1187280665,4087598971,14073866371,48459148689,

%U 166851565139,574482172185,1977991833471,6810453196653,23449166058609

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

%C Column 3 of A255027

%H R. H. Hardin, <a href="/A255022/b255022.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +12*a(n-3) +32*a(n-4) +44*a(n-5) +37*a(n-6) -32*a(n-7) -81*a(n-8) -12*a(n-9) +47*a(n-10) +38*a(n-11) +8*a(n-12) -6*a(n-13) -4*a(n-14) -4*a(n-15) for n>17

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A255027

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 13 2015

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Last modified April 16 16:09 EDT 2024. Contains 371749 sequences. (Running on oeis4.)