[math-fun] Infinite product expansion for 1
Consider the infinite product: (24/16) * (48/64) * (120/144) * ... * ((p^2 - 1)/(16*[p/4]^2)) * ... In Sloane notation, this is: Product (n >= 1) of (A061066(n+1) / (2*A024698(n+1)^2)) (Perhaps it could be used to set a new record for computing the most decimal digits of 1? : ) Sincerely, Adam P. Goucher
Nah --- converges too slowly! WFL On 8/10/11, Adam P. Goucher <apgoucher@gmx.com> wrote:
Consider the infinite product:
(24/16) * (48/64) * (120/144) * ... * ((p^2 - 1)/(16*[p/4]^2)) * ...
In Sloane notation, this is:
Product (n >= 1) of (A061066(n+1) / (2*A024698(n+1)^2))
(Perhaps it could be used to set a new record for computing the most decimal digits of 1? : )
Sincerely,
Adam P. Goucher
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