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A158143 Number of nondecreasing integer sequences of length 9 with sum zero and sum of absolute values 2n. 1

%I #4 Mar 31 2012 12:35:25

%S 1,4,9,25,48,113,189,367,598,1031,1559,2566,3681,5593,7926,11480,

%T 15598,21984,29080,39672,51688,68384,87284,113869,142723,181944,

%U 225921,283427,346610,430023,519663,635875,762786,921749,1094895,1313500,1545683

%N Number of nondecreasing integer sequences of length 9 with sum zero and sum of absolute values 2n.

%C a(n) = A000041(n)^2 for n<=4

%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="/A158143/b158143.txt">Table of n, a(n) for n=1..643</a>

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 13 2009

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Last modified April 24 03:08 EDT 2024. Contains 371918 sequences. (Running on oeis4.)