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

%I #6 Nov 16 2016 12:37:14

%S 2,2,4,8,12,24,36,72,144,252,504,864,1728,2952,5904,11808,21888,43776,

%T 79920,159840,290160,580320,1051200,2102400,4204800,8010000,16020000,

%U 30189600,60379200,113252400,226504800,423828000,847656000,1584075600

%N Number of length n 0..1 arrays with each partial sum starting from the beginning no more than one standard deviation from its mean.

%C Column 1 of A244788

%H R. H. Hardin, <a href="/A244781/b244781.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 06 2014