A118178 integral in closed form

Max maxale at gmail.com
Wed Apr 19 06:24:41 CEST 2006


I have not got the closed form yet but I found the following
connection to the sequence A092765. The integral in question is equal

2 * Pi * SUM[n=0..+oo] binomial(1/2,n) * 4^(-n) * A092765(n)

I am going to submit some clarifying comments to A092765.

btw, there is a missing integral sign in the formula (11) at


On 4/18/06, Eric W. Weisstein <eric at weisstein.com> wrote:
> Can anyone get
> http://www.research.att.com/~njas/sequences/A118178
> 4*Integrate[Sqrt[4*Sin[t]^4-5*Sin[t]^2+2], {t, 0, Pi/2}]
> in closed form?
> Cheers,
> -Eric

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