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

%I #5 Nov 16 2016 12:30:07

%S 3,7,21,59,163,447,1341,3905,11271,32357,92607,277821,820177,2408409,

%T 7047447,20576017,59979511,174642457,523927371,1555935031,4604936281,

%U 13597391065,40088645243,118057542207,347369262425,1021399936433

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

%C Column 2 of A244903

%H R. H. Hardin, <a href="/A244897/b244897.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 07 2014