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A304004 Number of n X 2 0..1 arrays with every element unequal to 0, 2, 3 or 5 king-move adjacent elements, with upper left element zero. 9

%I #6 Apr 26 2021 14:24:00

%S 1,4,7,13,26,49,99,194,387,773,1538,3081,6147,12298,24587,49157,98330,

%T 196609,393251,786450,1572883,3145797,6291442,12583033,25165827,

%U 50331738,100663451,201326533,402653578,805306225,1610613155,3221225698

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

%C Column 2 of A304010.

%H R. H. Hardin, <a href="/A304004/b304004.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304010.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 04 2018

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)