A007441 1 + Sum_{n>=1} a_n x^n = Product_{n>=1} (1-x^n)^prime(n). (Formerly M0201)

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

Offset

0,2

References

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

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

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*prime(d), cf. A061150.

Crossrefs

Cf. A030009, A030010, A061150, A061151, A061152.

Sequence in context: A210791 A299500 A330141 * A289192 A111933 A144304

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