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A158184 Number of nondecreasing integer sequences of length 50 with sum zero and sum of absolute values 2n. 2

%I #4 Mar 31 2012 12:35:26

%S 1,4,9,25,49,121,225,484,900,1764,3136,5929,10201,18225,30976,53361,

%T 88209,148225,240100,393129,627264,1004004,1575025,2480625,3833764,

%U 5934093,9060082,13823450,20838976,31404082,46810997,69700899,102868926

%N Number of nondecreasing integer sequences of length 50 with sum zero and sum of absolute values 2n.

%C a(n) = A000041(n)^2 for n<=25

%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="/A158184/b158184.txt">Table of n, a(n) for n=1..191</a>

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 13 2009

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