Asymptotic for A058797

[Gerald McGarvey]

Please excuse me, I must have been half-asleep when I read your email,
while it is true that BesselJ(0,2) = Sum (-1)^k/(k!)^2, that is not your 
conjecture.

Gerald

At 10:44 PM 12/18/2005, Gerald McGarvey wrote:

>That is correct, see equation 75 near the bottom of the web page
>http://mathworld.wolfram.com/BesselFunctionoftheFirstKind.html
>Eric W. Weisstein. "Bessel Function of the First Kind." From MathWorld.
>
>Gerald
>
>At 07:12 PM 8/17/2005, Franklin T. Adams-Watters wrote:
>>The entry for A058797 states that it is asymptotic to c*n!, with c=.224...
>>I conjecture that c = BesselJ(0,2) = Sum (-1)^k/(k!)^2 = 0.223890779... 
>>(A091681).
>>--
>>Franklin T. Adams-Watters
>>16 W. Michigan Ave.
>>Palatine, IL 60067
>>847-776-7645
>>
>>
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