A217598 Decimal expansion of the coefficient of asymptotic expression of m(n), the number of multiplicative compositions of n.

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

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