

A081094


4th differences of partition numbers A000041.


9



2, 2, 3, 4, 5, 5, 5, 5, 7, 9, 11, 10, 10, 10, 14, 16, 20, 19, 21, 19, 26, 28, 36, 31, 37, 33, 48, 46, 63, 52, 68, 53, 82, 70, 107, 78, 117, 82, 145, 104, 181, 113, 202, 113, 244, 141, 306, 149, 346, 146, 419, 171, 514, 171, 593, 152, 714, 169, 878, 143, 1017, 87, 1228, 64, 1497
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OFFSET

0,1


COMMENTS

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


REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 115.
A. M. Odlyzko, Differences of the partition function, Acta Arith., 49 (1988), pp. 237254


LINKS

Table of n, a(n) for n=0..64.
Almkvist, Gert, "On the differences of the partition function", Acta Arith., 61.2 (1992), 173181.


CROSSREFS

Cf. A000041, A002865, A053445, A072380, A081095.
Sequence in context: A241397 A069928 A135585 * A054633 A072490 A242493
Adjacent sequences: A081091 A081092 A081093 * A081095 A081096 A081097


KEYWORD

sign


AUTHOR

N. J. A. Sloane, Apr 25 2003


STATUS

approved



