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Number of length n 0..4 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 5,19,89,431,2009,9257,45207,215411,1061375,5141999,24766533,

%T 118872175,587442511,2866643947,13932274863,69083122581,339373310671,

%U 1661743983845,8119703068571,39618948133555,196723509789245,969498651960475

%N Number of length n 0..4 arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean

%C Column 4 of A244903

%H R. H. Hardin, <a href="/A244899/b244899.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=7

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 07 2014