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Number of length n 0..4 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 5,23,111,517,2529,12497,60773,293467,1452027,7098491,35241785,

%T 173448115,850635919,4228509605,20877802955,102809521997,511702568833,

%U 2533299689123,12515437416587,61741060077517,307496253699899

%N Number of length n 0..4 arrays with each partial sum starting from the beginning no more than sqrt(3) standard deviations from its mean

%C Column 4 of A244940

%H R. H. Hardin, <a href="/A244936/b244936.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=7

%e ..0....1....0....1....1....1....2....4....0....4....0....4....0....3....4....2

%e ..3....1....2....2....1....4....4....2....1....2....1....2....3....0....0....1

%e ..4....4....3....2....3....2....0....2....3....2....3....2....4....1....0....1

%e ..3....4....0....2....3....1....3....0....4....2....1....4....4....2....2....1

%e ..2....2....4....1....1....0....3....1....0....3....1....1....2....0....2....1

%e ..4....2....1....0....2....0....3....0....1....0....4....3....3....3....1....1

%e ..2....4....0....1....2....2....4....3....4....0....2....3....1....0....4....1

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 08 2014