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A030010 Inverse Euler transform of primes. 5
2, 0, 1, 0, 2, -3, 2, -4, 4, -3, 4, -5, 10, -21, 20, -18, 34, -46, 64, -99, 126, -182, 258, -319, 464, -685, 936, -1352, 1888, -2570, 3690, -5188, 7292, -10501, 14742, -20766, 29610, -41650, 59052, -84338, 119602, -170279, 242256, -343356, 489550, -698073 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..5000

N. J. A. Sloane, Transforms

FORMULA

Product_{k>=1} 1/(1-x^k)^{a(k)} = 1 + Sum_{n>=1} prime(n) * x^n.

EXAMPLE

(1-x)^(-2) * (1-x^3)^(-1) * (1-x^5)^(-2) * (1-x^6)^3 * (1-x^7)^(-2) * ... = 1 + 2*x + 3*x^2 + 5*x^3 + 7*x^4 + ... .

CROSSREFS

Cf. A000040, A030011.

Sequence in context: A104597 A182936 A072662 * A163577 A132178 A039655

Adjacent sequences:  A030007 A030008 A030009 * A030011 A030012 A030013

KEYWORD

sign

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 16 15:53 EST 2019. Contains 319195 sequences. (Running on oeis4.)