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A072380
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Third differences of partition numbers A000041.
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9
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-1, 1, -1, 2, -2, 3, -2, 3, -2, 5, -4, 7, -3, 7, -3, 11, -5, 15, -4, 17, -2, 24, -4, 32, 1, 38, 5, 53, 7, 70, 18, 86, 33, 115, 45, 152, 74, 191, 109, 254, 150, 331, 218, 420, 307, 551, 410, 716, 567, 913, 767, 1186, 1015, 1529, 1358, 1951, 1799, 2513, 2344, 3222, 3079, 4096, 4009, 5237, 5173
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Comtet appears to say this is nonnegative, which is only true for n sufficiently large.
An explanation is given by Odlyzko. - Moshe Newman (moshnoiman(AT)gmail.com), Jun 11 2006
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REFERENCES
| L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 115.
A. M. Odlyzko, Differences of the partition function, Acta Arith., 49 (1988), pp. 237-254
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LINKS
| Almkvist, Gert, "On the differences of the partition function", Acta Arith., 61.2 (1992), 173-181.
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CROSSREFS
| Cf. A000041, A002865, A053445, A081094, A081095.
Sequence in context: A105560 A165916 A096013 * A144910 A080330 A152872
Adjacent sequences: A072377 A072378 A072379 * A072381 A072382 A072383
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KEYWORD
| sign
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 25 2003
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