A243395 Decimal expansion of 'xiHat', a constant used in the asymptotic evaluation of e.g.f. coefficients for the number of labeled mobiles.

1, 1, 5, 7, 4, 1, 9, 8, 0, 3, 8, 1, 9, 2, 8, 0, 2, 6, 4, 4, 8, 2, 6, 3, 5, 4, 5, 0, 8, 4, 0, 9, 4, 6, 2, 5, 4, 6, 8, 6, 4, 2, 8, 6, 2, 7, 9, 7, 0, 4, 1, 9, 4, 1, 3, 4, 2, 2, 0, 5, 2, 6, 8, 2, 4, 5, 2, 0, 2, 3, 9, 8, 7, 8, 5, 9, 4, 4, 2, 3, 7, 7, 0, 0, 3, 0, 4, 5, 7, 5, 5, 8, 4, 5, 0, 6, 6, 8, 4, 2, 3, 8, 2, 6

Offset

1,3

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.6 Otter's tree enumeration constants, p. 303.

Links

Table of n, a(n) for n=1..104.

Formula

A038037 = Numerator of n-th coefficient ~ etaHat * xiHat^n * n^(n-1), where etaHat is A243396.

Example

1.15741980381928026448263545084...

Mathematica

digits = 104; mu = x /. FindRoot[x/(1 - x) == 1 + Log[1/(1 - x)], {x, 1/2}, WorkingPrecision -> digits + 5] ; xiHat = E^-1*(1 - mu)^-1; RealDigits[xiHat, 10, digits] // First

Crossrefs

Cf. A038037, A242769, A243396.

Sequence in context: A058091 A258162 A021868 * A245655 A011497 A010488

Adjacent sequences: A243392 A243393 A243394 * A243396 A243397 A243398

Keyword

nonn,cons

Author

Jean-François Alcover, Jun 04 2014

Status

approved