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A081095
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5th differences of partition numbers A000041.
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9
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-4, 5, -7, 9, -10, 10, -10, 12, -16, 20, -21, 20, -20, 24, -30, 36, -39, 40, -40, 45, -54, 64, -67, 68, -70, 81, -94, 109, -115, 120, -121, 135, -152, 177, -185, 195, -199, 227, -249, 285, -294, 315, -315, 357, -385, 447, -455, 495, -492, 565, -590, 685, -685, 764, -745, 866, -883, 1047, -1021, 1160
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OFFSET
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0,1
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COMMENTS
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Comtet appears to say this is nonnegative, which is only true for n sufficiently large.
An explanation is given by Odlyzko. - Moshe Shmuel Newman, Jun 11 2006
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REFERENCES
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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
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Table of n, a(n) for n=0..59.
Almkvist, Gert, "On the differences of the partition function", Acta Arith., 61.2 (1992), 173-181.
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CROSSREFS
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Cf. A000041, A002865, A053445, A072380, A081094.
Sequence in context: A135186 A011336 A094328 * A080596 A183866 A196004
Adjacent sequences: A081092 A081093 A081094 * A081096 A081097 A081098
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane, Apr 25 2003
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STATUS
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approved
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