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A256745 Number of (n+2)X(5+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 14:43:55

%S 5255,6352,9112,10360,22080,47440,96576,160704,300864,463632,1034880,

%T 2109632,4284608,6583568,14819840,24554944,53916864,105740048,

%U 216703616,332082880,839473856,1386101008,2999244544,5804012480,12212984000

%N Number of (n+2)X(5+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 5 of A256748

%H R. H. Hardin, <a href="/A256745/b256745.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = -2*a(n-1) +2*a(n-2) +16*a(n-3) +25*a(n-4) -14*a(n-5) -50*a(n-6) -64*a(n-7) -120*a(n-8) -296*a(n-9) -112*a(n-10) +1088*a(n-11) +1728*a(n-12) +384*a(n-13) -2048*a(n-14) -2048*a(n-15) for n>18

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A256748

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2015

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Last modified April 24 10:11 EDT 2024. Contains 371935 sequences. (Running on oeis4.)