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A217598 Decimal expansion of the coefficient of asymptotic expression of m(n), the number of multiplicative compositions of n. 5
3, 1, 8, 1, 7, 3, 6, 5, 2, 2, 0, 9, 0, 5, 6, 8, 7, 4, 3, 7, 6, 4, 4, 9, 1, 6, 7, 2, 7, 5, 6, 8, 4, 7, 1, 0, 4, 5, 1, 3, 5, 1, 9, 8, 5, 4, 4, 9, 2, 9, 0, 9, 5, 3, 2, 3, 8, 9, 3, 1, 1, 5, 3, 7, 2, 5, 9, 3, 5, 3, 9, 3, 6, 2, 3, 0, 6, 7, 7, 4, 6, 6, 9, 0, 9, 7, 0, 0, 6, 7, 4, 6, 3, 4, 0, 0, 6, 0, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

From Amiram Eldar, Oct 16 2020: (Start)

Equals -1/(rho * zeta'(rho)), where rho is the root of zeta(rho) = 2 (A107311).

Equals lim_{k->oo} A173382(k)/k^rho. (End)

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, page 293.

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

0.318173652...

MATHEMATICA

rho = x /. FindRoot[Zeta[x] == 2, {x, 2}, WorkingPrecision -> 100]; RealDigits[-1/(rho*Zeta'[rho])] // First

PROG

(PARI) a217598={my(rho=solve(x=1.1, 2, zeta(x)-2)); -1/(rho*zeta'(rho))} \\ Hugo Pfoertner, Oct 16 2020

CROSSREFS

Cf. A074206, A107311 (rho), A173382.

Sequence in context: A155789 A179393 A347954 * A347235 A347956 A280207

Adjacent sequences:  A217595 A217596 A217597 * A217599 A217600 A217601

KEYWORD

nonn,cons

AUTHOR

Jean-François Alcover, Mar 19 2013

STATUS

approved

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Last modified May 21 00:36 EDT 2022. Contains 353886 sequences. (Running on oeis4.)