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.

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

Offset: 1

Author

N. J. A. Sloane, May 13 2008

Keywords

• nonn

Comments

Based on various postings on the Web, sent to N. J. A. Sloane 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.

Ramanujan's congruence says that numbpart(5*k+4) == 0 (mod 5), so numbpart(11269) = ...851 == 1 (mod 5) can't be correct. - Robert Gerbicz, May 13 2008

Examples

			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.
		

Links

• Alec Mihailovs and others, Concerning this sequence

Crossrefs

Cf. A000041.

Extensions

More terms from R. J. Mathar, May 14 2008, based on a comparison of results from Maple 9 and PARI 2.3.3.