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A298919 Number of nX3 0..1 arrays with every element equal to 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jan 29 2018 07:56:24

%S 0,4,1,2,3,5,8,16,21,34,55,89,144,236,377,610,987,1597,2584,4184,6765,

%T 10946,17711,28657,46368,75028,121393,196418,317811,514229,832040,

%U 1346272,2178309,3524578,5702887,9227465,14930352,24157820,39088169

%N Number of nX3 0..1 arrays with every element equal to 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A298924.

%H R. H. Hardin, <a href="/A298919/b298919.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +a(n-6) -a(n-7) -a(n-8)

%e All solutions for n=5

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

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

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

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

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

%Y Cf. A298924.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 29 2018

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)