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A089040 Number of primitive partition identities with largest part n. 0

%I #1 Feb 19 2004 03:00:00

%S 1,5,15,47,102,276,578,1261,2465,5362,9285,18900,33269,58171,99328,

%T 181514,287239,502116,775710,1239710,1956334,3210736,4660786,7297823,

%U 10997235,16536803

%N Number of primitive partition identities with largest part n.

%D U.-U. Haus, M. Koeppe and R. Weismantel, A Primal All-Integer Algorithm Based on Irreducible Solutions, Math. Programming, Series B, 96 (2003), no. 2, 205-246

%D B. Sturmfels and R. R. Thomas, Variation of Cost Functions in Integer Programming, Mathematical Programming 77 (1997), 357-387

%H M. Koeppe, <a href="http://www.math.uni-magdeburg.de/~mkoeppe/art/ppi/index.html">Primitive Partition Identities</a>

%e a(3)=5 because we can write 2=1+1, 3=1+2, 3=1+1+1, 3+1=2+2, 3+3=2+2+2.

%Y A007343 counts the homogeneous PPIs only, i.e. the same number of summands appears on the lhs and rhs.

%K nonn

%O 2,2

%A Matthias Koeppe (mkoeppe(AT)mail.math.uni-magdeburg.de), Dec 03 2003

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