OFFSET
0,3
COMMENTS
The limit of b(n) is (PolyGamma(1,(1+sqrt(5))/4)-PolyGamma(1,(3+sqrt(5))/4))/2. See A091659.
LINKS
Eric Weisstein's World of Mathematics, Polygamma Function
Eric Weisstein's World of Mathematics, Ramanujan Continued Fractions
EXAMPLE
b(0) = 1/1, so a(0) = 1.
b(1) = 1/(1+1^2) = 1/2, so a(1) = 1.
b(2) = 1/(1+1^2/(1+1^2)) = 2/3, so a(2) = 2.
b(3) = 1/(1+1^2/(1+1^2/(1+2^2))) = 6/11, so a(3) = 6.
b(4) = 1/(1+1^2/(1+1^2/(1+2^2/(1+2^2)))) = 14/23, so a(4) = 14.
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Seiichi Manyama, Sep 24 2017
STATUS
approved