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A253366 Number of (n+2)X(7+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically 1

%I #4 Dec 30 2014 17:25:20

%S 6544,10496,63496,112864,438504,1255456,3424264,12086016,30463848,

%T 105411360,297371496,895963200,2923064968,7866453088,27463800200,

%U 72611337216,246664512040,686842721696,2178075395368,6439302714048

%N Number of (n+2)X(7+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically

%C Column 7 of A253367

%H R. H. Hardin, <a href="/A253366/b253366.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-2) -198*a(n-4) +1114*a(n-6) -3665*a(n-8) +12265*a(n-10) -37276*a(n-12) +60072*a(n-14) -35500*a(n-16) -80480*a(n-18) +44160*a(n-20) +26752*a(n-22) -18496*a(n-24) +12352*a(n-26) +960*a(n-28) -2048*a(n-30) for n>33

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014

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Last modified April 19 12:14 EDT 2024. Contains 371792 sequences. (Running on oeis4.)