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Chance Sanford, <a href="https://arxiv.org/abs/1603.03765">Infinite Series Involving Fibonacci Numbers Via Apéry-Like Formulae</a>, arXiv:1603.03765 [math.NT], 2016.
<a href="/index/Aa#AHSL">Index entries for sequences of form a(n+1)=a(n)^2 + ...</a>.
Sum_{n>=0} a(n)/Fibonacci(2^(n+2)) = A094874 (Sanford, 2016). - Amiram Eldar, Mar 01 2024
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M. Mendes France and A. J. van der Poorten, From geometry to Euler identities, Theoret. Comput. Sci., 65 (1989), 213-220.
M. Mendes France and A. J. van der Poorten, <a href="https://doi.org/10.1016/0304-3975(89)90045-5">From geometry to Euler identities</a>, Theoret. Comput. Sci., 65 (1989), 213-220.
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a(n) = A000032(2^(n+1)). a(n) = 5*Fibonacci(2^n)^2+2 = 5*A058635(n)^2+2, for n>0.
a(n) = A000032(2^(n+1)).
a(n) = 5*Fibonacci(2^n)^2+2 = 5*A058635(n)^2+2, for n>0. - Jianglin Luo, Sep 21 2023
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