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A200662 Number of 0..2 arrays x(0..n-1) of n elements with each no smaller than the sum of its three previous neighbors modulo 3 1

%I

%S 3,6,12,24,46,89,176,350,697,1391,2780,5555,11098,22170,44288,88472,

%T 176729,353032,705224,1408771,2814203,5621746,11230193,22433834,

%U 44814616,89523251,178834811,357246713,713648606,1425609609,2847847987,5688961529

%N Number of 0..2 arrays x(0..n-1) of n elements with each no smaller than the sum of its three previous neighbors modulo 3

%C Column 2 of A200668

%H R. H. Hardin, <a href="/A200662/b200662.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -3*a(n-2) +4*a(n-3) -6*a(n-4) +7*a(n-5) -9*a(n-6) +8*a(n-7) -6*a(n-8) +5*a(n-9) -4*a(n-10) +5*a(n-11) -5*a(n-12) +2*a(n-14) -3*a(n-15) +2*a(n-16) +a(n-17) -2*a(n-18) +5*a(n-19) -3*a(n-20) +a(n-21) -a(n-22) -a(n-24) +a(n-25) -a(n-26) +a(n-27)

%e Some solutions for n=6

%e ..0....2....0....0....1....0....0....2....0....1....1....0....1....1....1....1

%e ..1....2....0....0....1....0....1....2....1....2....1....0....2....1....2....2

%e ..2....2....2....1....2....0....2....2....1....1....2....2....0....2....0....0

%e ..0....2....2....2....1....2....0....0....2....1....2....2....2....1....1....2

%e ..1....2....2....0....1....2....1....1....2....2....2....1....1....1....0....1

%e ..2....0....1....2....2....2....1....0....2....2....0....2....0....1....2....2

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 20 2011

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Last modified January 23 11:42 EST 2022. Contains 350512 sequences. (Running on oeis4.)