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Number of length n 0..2 arrays with each partial sum starting from the beginning no more than sqrt(3) standard deviations from its mean
1

%I #5 Nov 16 2016 12:30:08

%S 3,9,25,69,207,603,1741,5223,15445,45423,133083,388931,1166793,

%T 3468159,10273893,30362903,89585413,268756239,801503303,2384949771,

%U 7085216455,21024282907,62328987385,184644664807,553933994421,1654527949377

%N Number of length n 0..2 arrays with each partial sum starting from the beginning no more than sqrt(3) standard deviations from its mean

%C Column 2 of A244940

%H R. H. Hardin, <a href="/A244934/b244934.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 08 2014