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A298057 Number of n X 2 0..1 arrays with every element equal to 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero. 2

%I

%S 1,4,3,13,32,53,125,386,727,1601,4568,9985,21185,56082,131531,284005,

%T 704432,1701725,3780885,9013570,21864175,49853913,116599048,280872201,

%U 652085433,1515923218,3617323651,8484345565,19735099744,46724667589

%N Number of n X 2 0..1 arrays with every element equal to 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero.

%C Column 2 of A298063.

%H R. H. Hardin, <a href="/A298057/b298057.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + a(n-2) + 8*a(n-3) - 16*a(n-5).

%F Empirical g.f.: x*(1 + 3*x - 2*x^2 - 2*x^3 - 16*x^4) / (1 - x - x^2 - 8*x^3 + 16*x^5). - _Colin Barker_, Mar 22 2018

%e Some solutions for n=7:

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

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

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

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

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

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

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

%Y Cf. A298063.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 11 2018

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Last modified May 19 18:35 EDT 2022. Contains 353847 sequences. (Running on oeis4.)