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%I #4 Mar 31 2012 12:35:25
%S 1,4,9,25,49,118,207,414,697,1240,1947,3299,4911,7690,11260,16787,
%T 23571,34111,46566,65168,87425,118613,155699,207823,267701,349081,
%U 444442,569884,714235,904372,1119056,1396739,1712996,2110652,2561649,3129206
%N Number of nondecreasing integer sequences of length 10 with sum zero and sum of absolute values 2n.
%C a(n) = A000041(n)^2 for n<=5
%C a(n) = A000041(n)^2 - cumulative A000712(2*n-1-length), 0 <= 2*n-1-length <= floor(n/2) [empirical].
%H R. H. Hardin, <a href="/A158144/b158144.txt">Table of n, a(n) for n=1..550</a>
%K nonn
%O 1,2
%A _R. H. Hardin_ Mar 13 2009
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