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A283540 Number of nX5 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors. 1

%I #4 Mar 10 2017 09:28:08

%S 24,201,2369,25532,282773,3109801,34266804,377393657,4156954825,

%T 45786939720,504326714089,5554965623073,61185851789928,

%U 673938982059417,7423182833328281,81763548900367844,900594542105052837

%N Number of nX5 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors.

%C Column 5 of A283543.

%H R. H. Hardin, <a href="/A283540/b283540.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -15*a(n-2) -129*a(n-3) +568*a(n-4) +430*a(n-5) -2325*a(n-6) -175*a(n-7) -2127*a(n-8) +3919*a(n-9) +438*a(n-10) -262*a(n-11) -1743*a(n-12) +309*a(n-13) +1745*a(n-14) -463*a(n-15) -462*a(n-16) +152*a(n-17) +53*a(n-18) -19*a(n-19) -3*a(n-20) +a(n-21)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283543.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 10 2017

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Last modified August 3 18:16 EDT 2024. Contains 374899 sequences. (Running on oeis4.)