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A298189 Number of nX2 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero. 8

%I #4 Jan 14 2018 09:49:15

%S 2,8,26,88,298,1012,3440,11700,39804,135432,460832,1568112,5336024,

%T 18157728,61788368,210258064,715482384,2434699680,8284988960,

%U 28192819392,95936772448,326461301312,1110908566656,3780288336704,12863866903872

%N Number of nX2 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.

%C Column 2 of A298195.

%H R. H. Hardin, <a href="/A298189/b298189.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -2*a(n-2) +2*a(n-3) -6*a(n-4) -4*a(n-5)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298195.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 14 2018

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Last modified April 18 13:50 EDT 2024. Contains 371780 sequences. (Running on oeis4.)