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A255027 T(n,k)=Number of (n+2)X(k+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 9

%I #4 Feb 13 2015 07:47:05

%S 26,54,54,117,134,117,269,405,405,269,601,1121,1489,1121,601,1306,

%T 3015,5077,5077,3015,1306,2853,8338,17447,21854,17447,8338,2853,6308,

%U 23077,60237,92217,92217,60237,23077,6308,13940,63446,206739,391926,480456

%N T(n,k)=Number of (n+2)X(k+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 Table starts

%C ....26.....54.....117.......269........601........1306.........2853

%C ....54....134.....405......1121.......3015........8338........23077

%C ...117....405....1489......5077......17447.......60237.......206739

%C ...269...1121....5077.....21854......92217......391926......1669286

%C ...601...3015...17447.....92217.....480456.....2547757.....13460633

%C ..1306...8338...60237....391926....2547757....16789556....110131505

%C ..2853..23077..206739...1669286...13460633...110131505....896763036

%C ..6308..63446..711741...7114859...71027915...722619025...7301549016

%C .13940.174690.2455031..30309034..375675337..4749948369..59570598618

%C .30665.481563.8451157.129016023.1985308048.31181555198.485457428280

%H R. H. Hardin, <a href="/A255027/b255027.txt">Table of n, a(n) for n = 1..480</a>

%F Empirical for column k:

%F k=1: a(n) = a(n-1) +3*a(n-3) +4*a(n-4) +4*a(n-5) +2*a(n-6) for n>7

%F k=2: [order 8] for n>9

%F k=3: [order 15] for n>17

%F k=4: [order 23] for n>25

%F k=5: [order 43] for n>45

%F k=6: [order 71] for n>73

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 13 2015

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Last modified March 29 05:48 EDT 2024. Contains 371265 sequences. (Running on oeis4.)