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A303625 Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 27 2018 09:56:26

%S 4,2,38,68,362,1283,5411,22516,96189,417555,1829258,8090336,35972626,

%T 160686336,719920275,3232692431,14538525542,65457371351,294941937573,

%U 1329700498750,5997079537476,27054800037678,122076548954830

%N Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 3 of A303624.

%H R. H. Hardin, <a href="/A303625/b303625.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -9*a(n-2) -54*a(n-3) +79*a(n-4) +193*a(n-5) -246*a(n-6) -383*a(n-7) +307*a(n-8) +547*a(n-9) -250*a(n-10) -458*a(n-11) +174*a(n-12) +193*a(n-13) -66*a(n-14) -34*a(n-15) -3*a(n-16) for n>17

%e Some solutions for n=5

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

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

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

%Y Cf. A303624.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 27 2018

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Last modified July 22 16:05 EDT 2024. Contains 374540 sequences. (Running on oeis4.)