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A046675 Expansion of Product_{i=1..oo} (1-x^{p_i}), where p_i are the primes.
(Formerly N0003)
4
1, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0, -1, 0, -1, 0, -1, 1, 1, 1, -1, 1, -1, -1, -1, 2, 0, 1, -1, 1, 0, 0, -3, 2, 1, 1, -2, 1, -2, 1, -2, 1, 0, 2, -3, 3, -1, 0, -2, 4, -1, 2, -4, 1, -1, 3, -5, 4, -1, 2, -3, 4, -4, 3, -5, 3, -1, 4, -8, 6, -1, 2, -7, 6, -4, 8, -6, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,41

COMMENTS

The difference between the number of even partitions of n into distinct primes and the number of odd partitions of n into distinct primes. - T. D. Noe, Sep 08 2006

REFERENCES

B. C. Berndt and B. M. Wilson, Chapter 5 of Ramanujan's second notebook, pp. 49-78 of Analytic Number Theory (Philadelphia, 1980), Lect. Notes Math. 899, 1981, see Entry 29.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000

H. Gupta, Partitions into distinct primes, Proc. Nat. Acad. Sci. India, 21 (1955), 185-187.

FORMULA

a(n) = A184171(n) - A184172(n). - R. J. Mathar, Jan 10 2011

CROSSREFS

Cf. A000607.

Sequence in context: A213726 A116929 A059984 * A275949 A090418 A076754

Adjacent sequences:  A046672 A046673 A046674 * A046676 A046677 A046678

KEYWORD

sign

AUTHOR

N. J. A. Sloane

EXTENSIONS

Revised by N. J. A. Sloane, Jun 10 2012

STATUS

approved

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Last modified November 20 04:05 EST 2017. Contains 294959 sequences.