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 A158147 Number of nondecreasing integer sequences of length 13 with sum zero and sum of absolute values 2n. 1

%I

%S 1,4,9,25,49,121,224,476,862,1629,2750,4942,7947,13290,20892,33272,

%T 50229,77373,113409,168716,242193,349279,489700,692174,950812,1312535,

%U 1775675,2406215,3200557,4271720,5600464,7359874,9536595,12359775,15825600

%N Number of nondecreasing integer sequences of length 13 with sum zero and sum of absolute values 2n.

%C a(n) = A000041(n)^2 for n<=6

%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="/A158147/b158147.txt">Table of n, a(n) for n=1..450</a>

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 13 2009

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Last modified December 5 06:15 EST 2022. Contains 358578 sequences. (Running on oeis4.)