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 A283629 Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements. 1

%I #5 Mar 12 2017 14:27:31

%S 0,0,37,388,3729,28828,203025,1325980,8216341,48912768,282293033,

%T 1589466368,8771503165,47606031352,254776347029,1347286728096,

%U 7051427209337,36575153581764,188217385278837,961810924181084

%N Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements.

%C Column 3 of A283634.

%H R. H. Hardin, <a href="/A283629/b283629.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-1) -78*a(n-2) +134*a(n-3) +162*a(n-4) -840*a(n-5) +728*a(n-6) +1398*a(n-7) -3117*a(n-8) +413*a(n-9) +4626*a(n-10) -4056*a(n-11) -2576*a(n-12) +5376*a(n-13) -768*a(n-14) -3200*a(n-15) +1536*a(n-16) +768*a(n-17) -512*a(n-18)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283634.

%K nonn

%O 1,3

%A _R. H. Hardin_, Mar 12 2017

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Last modified June 2 18:23 EDT 2023. Contains 363100 sequences. (Running on oeis4.)