The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A089040 Number of primitive partition identities with largest part n. 0
 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; text; internal format)
 OFFSET 2,2 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 LINKS M. Koeppe, Primitive Partition Identities 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. CROSSREFS A007343 counts the homogeneous PPIs only, i.e. the same number of summands appears on the lhs and rhs. Sequence in context: A197237 A307242 A296545 * A331237 A184262 A126944 Adjacent sequences:  A089037 A089038 A089039 * A089041 A089042 A089043 KEYWORD nonn AUTHOR Matthias Koeppe (mkoeppe(AT)mail.math.uni-magdeburg.de), Dec 03 2003 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 29 23:37 EST 2020. Contains 338780 sequences. (Running on oeis4.)