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A245240 Coefficients of the series reversion of the series Sum(x^k for k in A008578). 0
0, 1, -1, 1, 0, -5, 21, -59, 117, -95, -484, 3131, -11219, 28216, -40975, -49778, 630853, -2758309, 8205948, -16014181, 3933569, 135111669, -743995720, 2566032656, -6105683945, 6584104436, 26402611080, -205994058892, 825490609412, -2295266373781 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..29.

FORMULA

G.f.: series reversion of Sum(x^k for k in A008578) = x + Sum(x^n, n is prime).

EXAMPLE

x - x^2 + x^3 - 5*x^5 + 21*x^6 + ...

MATHEMATICA

With[{N = 10}, CoefficientList[InverseSeries[x + Sum[x^Prime[k], {k, 1, N}] + O[x]^(Prime[N + 1] - 1)], x]]

PROG

(PARI) t=Ser(x+O(x^31)); forprime(p=2, 30, t+=x^p); Vec(serreverse(t)) /* Max Alekseyev, Jul 15 2014 */

CROSSREFS

Cf. A008578, A080339.

Sequence in context: A166464 A059859 A146617 * A203233 A112561 A303170

Adjacent sequences:  A245237 A245238 A245239 * A245241 A245242 A245243

KEYWORD

sign,easy

AUTHOR

Arsenii Abdrafikov, Jul 14 2014

STATUS

approved

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Last modified January 20 14:02 EST 2020. Contains 331094 sequences. (Running on oeis4.)