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A283546 Number of 5Xn 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors. 1

%I #4 Mar 10 2017 09:33:35

%S 32,291,2615,29558,282773,2905717,29377334,295789859,2998091753,

%T 30266794266,306005234215,3093187359365,31261007663534,

%U 315993726715575,3193844095568199,32282050634653328,326293583523224661

%N Number of 5Xn 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors.

%C Row 5 of A283543.

%H R. H. Hardin, <a href="/A283546/b283546.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +42*a(n-2) +198*a(n-3) -64*a(n-4) +925*a(n-5) -1855*a(n-6) +7735*a(n-7) -27083*a(n-8) +45326*a(n-9) -73559*a(n-10) +51145*a(n-11) +19879*a(n-12) +10890*a(n-13) +32935*a(n-14) -24368*a(n-15) +328*a(n-16) +7803*a(n-17) -32113*a(n-18) -558*a(n-19) +29*a(n-20) +30*a(n-21)

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A283543.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 10 2017

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Last modified May 20 08:57 EDT 2024. Contains 372710 sequences. (Running on oeis4.)