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A089040
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Number of primitive partition identities with largest part n.
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0
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1, 5, 15, 47, 102, 276, 578, 1261, 2465, 5362, 9285, 18900, 33269, 58171, 99328, 181514, 287239, 502116, 775710, 1239710, 1956334, 3210736, 4660786, 7297823, 10997235, 16536803
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,2
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REFERENCES
| 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
B. Sturmfels and R. R. Thomas, Variation of Cost Functions in Integer Programming, Mathematical Programming 77 (1997), 357-387
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LINKS
| M. Koeppe, Primitive Partition Identities
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EXAMPLE
| 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.
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CROSSREFS
| A007343 counts the homogeneous PPIs only, i.e. the same number of summands appears on the lhs and rhs.
Sequence in context: A037504 A197237 A105465 * A184262 A126944 A077841
Adjacent sequences: A089037 A089038 A089039 * A089041 A089042 A089043
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KEYWORD
| nonn
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AUTHOR
| Matthias Koeppe (mkoeppe(AT)mail.math.uni-magdeburg.de), Dec 03 2003
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