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Search: id:A110375
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| A110375 |
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Numbers n such that Maple 9.5, Maple 10, Maple 11 and Maple 12 give the wrong answers for the number of partitions of n. |
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+0
1
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| 11269, 11566, 12376, 12430, 12700, 12754, 15013, 17589, 17797, 18181, 18421, 18453, 18549, 18597, 18885, 18949, 18997, 20865, 21531, 21721, 21963, 22683, 23421, 23457, 23547, 23691, 23729, 23853, 24015, 24087, 24231, 24339, 24519, 24591, 24627, 24681, 24825, 24933, 25005, 25023, 25059, 25185, 25293, 27020
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Based on various postings on the Web, sent to N. J. A. Sloane (njas(AT)research.att.com) by R. J. Mathar. Thanks to several correspondents who sent information about other versions of Maple.
Mathematica 6.0, DrScheme and pari-2.3.3 all give the correct answers.
Comment from Robert Gerbicz, May 13 2008: Ramanujan's congurence says that numbpart(5*k+4)==0 mod 5, so numbpart(11269)=...851==1 mod 5 can't be correct.
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LINKS
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Author?, Concerning this sequence
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EXAMPLE
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From PARI, the correct answer:
numbpart(11269)
2311391772313039755144117876494556289590601993601099725578515191051551761\
80318215891795874905318274163248033071850
From Maple 11, incorrect:
combinat[numbpart](11269);
2311391772313039755144117876494556289590601993601099725578515191051551761\
80318215891795874905318274163248033071851
On the other hand, the old Maple 6 gives the correct answer.
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CROSSREFS
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Cf. A000041.
Sequence in context: A064870 A051520 A051346 this_sequence A112441 A104017 A067791
Adjacent sequences: A110372 A110373 A110374 this_sequence A110376 A110377 A110378
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 13 2008
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 14 2008, based on a comparison of results from Maple 9 and PARI-2.3.3.
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