A241902 Decimal expansion of a constant related to Carlitz compositions (A003242).

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

Offset

1,2

Links

Vaclav Kotesovec, Table of n, a(n) for n = 1..1500

P. Flajolet and R. Sedgewick, Analytic Combinatorics, 2009, p. 201.

A. Knopfmacher and H. Prodinger, On Carlitz compositions, European Journal of Combinatorics, Vol. 19, 1998, pp. 579-589.

Formula

Equals lim n -> infinity A003242(n)^(1/n).

Example

1.7502412917183090312497386246398158787782...

Mathematica

RealDigits[r /. FindRoot[Exp[QPolyGamma[0, 1 + Pi*I/Log[r], r]] == r^(3/2)/(1-r), {r, 3/2}, WorkingPrecision -> 120], 10, 110][[1]] (* Vaclav Kotesovec, Jun 19 2023 *)

Crossrefs

Cf. A003242, A224958, A212322, A106357, A261984, A106369.

Sequence in context: A152627 A277067 A354823 * A356023 A113223 A096414

Adjacent sequences: A241899 A241900 A241901 * A241903 A241904 A241905

Keyword

nonn,cons

Author

Vaclav Kotesovec, May 01 2014

Status

approved