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A158141 Number of nondecreasing integer sequences of length 7 with sum zero and sum of absolute values 2n. 1

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

%S 1,4,9,24,41,87,130,234,344,542,742,1135,1477,2088,2719,3676,4597,

%T 6103,7462,9596,11658,14568,17374,21559,25287,30692,35927,42952,49573,

%U 58901,67304,78938,89966,104282,117818,136119,152535,174480,195281,221660

%N Number of nondecreasing integer sequences of length 7 with sum zero and sum of absolute values 2n.

%C a(n) = A000041(n)^2 for n<=3

%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="/A158141/b158141.txt">Table of n, a(n) for n=1..787</a>

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 13 2009

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Last modified September 6 05:09 EDT 2024. Contains 375703 sequences. (Running on oeis4.)