A287937 Denominator of moments of Rvachëv function up(x).

1, 9, 675, 59535, 32531625, 24405225075, 4133856862760625, 2232691548877164375, 13301767332333178846875, 100028040755473167511640090625, 182171989134769427819794434994453125, 12012265189685856975048179723754213046875, 75749878923357625026812035792140968086378130859375

Offset

0,2

Links

Table of n, a(n) for n=0..12.

J. Arias de Reyna, An infinitely differentiable function with compact support:Definition and properties, arXiv:1702.05442 [math.CA], 2017.

J. Arias de Reyna, Arithmetic of the Fabius function, arXiv:1702.06487 [math.NT], 2017.

Formula

Recurrence c(0)=1, c(n)=Sum_{k=0..n-1}(binomial(2n+1,2k) c_k)/((2n+1)*(2^(2n)-1)), where c(n)=A287936(n)/a(n).

Example

A287936(n)/a(n) = 1/1, 1/9, 19/675, 583/59535, ...

Mathematica

c[0] = 1;
c[n_] := c[n] =
   Sum[Binomial[2 n + 1, 2 k] c[k], {k, 0, n - 1}]/((2 n + 1) (2^(2 n) - 1));
Table[Denominator[c[n]], {n, 0, 30}]

Crossrefs

Cf. A287936, A287938.

Sequence in context: A015007 A054327 A209964 * A372184 A053973 A059492

Adjacent sequences: A287934 A287935 A287936 * A287938 A287939 A287940

Keyword

nonn,frac

Author

Juan Arias-de-Reyna, Jun 03 2017

Status

approved