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Question: A factorial sum bug?

Question:A factorial sum bug?

edgar 669 Maple
sum symbolic
June 07 2013
1

Who knows what Maple does wrong on this one?



> 

T:=Sum(1/(6*k+1)!, k=0..infinity); evalf(T); value(T); evalf(%);

Sum(1/factorial(6*k+1), k = 0 .. infinity)

  

1.000198413

  

(1/6)*3^(1/2)*exp(-1/2)*sin((1/2)*3^(1/2))+(1/6)*3^(1/2)*exp(1/2)*sin((1/2)*3^(1/2))+(1/6)*exp(1/2)*cos((1/2)*3^(1/2))

  

.6739557747

 (1)
> 

 



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