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A007441 1 + Sum_{n=1..inf} a_n x^n = Product_{n=1..inf} (1-x^n)^ithprime(n).
(Formerly M0201)
4
1, -2, -2, 1, 3, 7, 5, 6, -10, -27, -50, -42, -30, 41, 148, 241, 345, 303, 167, -275, -858, -1685, -2342, -2813, -2316, -536, 2914, 8228, 14531, 20955, 24370, 22393, 10265, -13839, -53386, -104364, -161593, -209463, -228141, -188750, -62023, 177547, 541310, 1009998, 1527972, 1976120, 2189974 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=0..46.

FORMULA

a(n)=1/n*Sum_{k=1..n} a(n-k)*b(k), k>0, a(0)=1, b(k)=-Sum_{d|k} d*ithprime(k), cf. A061150.

CROSSREFS

Cf. A030009, A030010, A061150-A061152.

Sequence in context: A158497 A110564 A210791 * A111933 A144304 A122941

Adjacent sequences:  A007438 A007439 A007440 * A007442 A007443 A007444

KEYWORD

sign

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Better description from Vladeta Jovovic, Apr 16 2001

STATUS

approved

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Last modified April 18 19:33 EDT 2014. Contains 240733 sequences.