A244896 - OEIS

%I #6 Nov 16 2016 12:30:07

%S 2,4,6,12,24,42,84,168,312,624,1140,2280,4560,8700,17400,32820,65640,

%T 131280,254460,508920,978120,1956240,3743880,7487760,14975520,

%U 29270220,58540440,113716680,227433360,440389320,880778640,1761557280,3463686240

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

%C Column 1 of A244903

%H R. H. Hardin, <a href="/A244896/b244896.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 07 2014