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A287937 Denominator of moments of Rvachëv function up(x). 4
1, 9, 675, 59535, 32531625, 24405225075, 4133856862760625, 2232691548877164375, 13301767332333178846875, 100028040755473167511640090625, 182171989134769427819794434994453125, 12012265189685856975048179723754213046875, 75749878923357625026812035792140968086378130859375 (list; graph; refs; listen; history; text; internal format)
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 * A053973 A059492 A322488

Adjacent sequences:  A287934 A287935 A287936 * A287938 A287939 A287940

KEYWORD

nonn,frac

AUTHOR

Juan Arias-de-Reyna, Jun 03 2017

STATUS

approved

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Last modified September 21 17:46 EDT 2019. Contains 327273 sequences. (Running on oeis4.)