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A303417 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 23 2018 10:52:04

%S 8,128,1985,30897,480960,7486369,116529645,1813851698,28233652317,

%T 439473157219,6840654335738,106478748377005,1657403414891639,

%U 25798444493138200,401567736789419233,6250634501358061189

%N Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A303421.

%H R. H. Hardin, <a href="/A303417/b303417.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) +21*a(n-2) +54*a(n-3) -23*a(n-4) -18*a(n-5) -20*a(n-6)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303421.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 23 2018

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)