

A122553


a(0)=1, a(n)=3 for n > 0.


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OFFSET

0,2


COMMENTS

Continued fraction for ((sqrt(13)  1))/2.
4/3 is the volume of the regular octahedron inscribed in the unitradius sphere.  Amiram Eldar, Jun 02 2023


LINKS



FORMULA

a(n) = 3  2*0^n.
G.f.: (1 + 2*x)/(1  x).
Sum_{n >= 0} a(n)*10^(n) = 4/3.
4/3 = Product_{k>=1} (1 + 1/2^(2^k)).
4/3 = Sum_{k>=0} binomial(2*k,k)/((k+2)*4^k). (End)


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STATUS

approved



