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

%I #7 May 20 2021 15:43:55

%S 4,16,62,242,950,3744,14802,58662,232916,926120,3628422,14381528,

%T 57148222,227453736,906239638,3576510068,14222021944,56647350200,

%U 225861048608,901148151936,3573218491998,14238032956598,56794010648340

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

%C Column 3 of A244832.

%H R. H. Hardin, <a href="/A244827/b244827.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=8

%e ..3....3....3....1....3....1....1....3....2....1....3....2....0....3....3....1

%e ..2....1....0....0....1....2....1....0....3....1....1....2....2....0....0....3

%e ..2....3....3....2....3....0....1....1....2....0....1....1....0....1....2....2

%e ..2....2....3....1....0....1....2....3....1....1....3....1....3....2....0....3

%e ..1....3....3....1....1....0....0....2....3....0....2....2....3....0....3....0

%e ..1....1....2....0....1....2....0....3....0....1....0....2....2....0....0....2

%e ..2....2....2....3....1....2....1....3....0....3....3....1....1....0....3....2

%e ..1....3....2....3....1....3....1....2....3....1....1....2....1....0....0....3

%Y Cf. A244832.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 06 2014