%I A110375
%S A110375 11269,11566,12376,12430,12700,12754,15013,17589,17797,18181,18421,
%T A110375 18453,18549,18597,18885,18949,18997,20865,21531,21721,21963,22683,
%U A110375 23421,23457,23547,23691,23729,23853,24015,24087,24231,24339,24519,24591,
24627,24681,24825,24933,25005,25023,25059,25185,25293,27020
%N A110375 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.
%C A110375 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.
%C A110375 Mathematica 6.0, DrScheme and pari-2.3.3 all give the correct answers.
%C A110375 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.
%H A110375 Author?, <a href="http://www.mapleprimes.com/forum/a110375">Concerning
this sequence</a>
%e A110375 From PARI, the correct answer:
%e A110375 numbpart(11269)
%e A110375 2311391772313039755144117876494556289590601993601099725578515191051551761\
%e A110375 80318215891795874905318274163248033071850
%e A110375 From Maple 11, incorrect:
%e A110375 combinat[numbpart](11269);
%e A110375 2311391772313039755144117876494556289590601993601099725578515191051551761\
%e A110375 80318215891795874905318274163248033071851
%e A110375 On the other hand, the old Maple 6 gives the correct answer.
%Y A110375 Cf. A000041.
%Y A110375 Sequence in context: A064870 A051520 A051346 this_sequence A112441 A104017
A067791
%Y A110375 Adjacent sequences: A110372 A110373 A110374 this_sequence A110376 A110377
A110378
%K A110375 nonn
%O A110375 1,1
%A A110375 N. J. A. Sloane (njas(AT)research.att.com), May 13 2008
%E A110375 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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