[seqfan] On Fabius function
Juan Arias de Reyna
arias at us.es
Sat Jun 3 19:57:31 CEST 2017
Dear sqfans,
I want to include a sequence of rational numbers d(n)=a(n)/b(n) in OEIS.
This sequence is related to the values of the Fabius function F(x) by
d(n)=n! 2^binomial(n,2) F(2^(-n)).
Not very surprisingly I find that the numerators a(n) appear to coincide
with A272755: numerators of the Fabius function F(1/2^n). But I have no
proof that n! 2^binomial(n,2) divides the denominator of F(1/2^n).
(I have checked the equality of numerators for 0 <= n <= 200)
Should I include then a sequence that will appear as a duplicate of A272755
with a different definition? Adding then a conjecture.
Should I include only the denominators of the d(n)?
What is the correct procedure here?
Thanks for your attention,
Juan Arias de Reyna
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