[seqfan] Re: A191301

[israel at math.ubc.ca]

I think the problem is with the a(0)=1, which doesn't really fit: for
n >= 1 you take the coefficient of x^(2n) times (2n-1)!, but that doesn't
work for n=0.
 
Robert Israel
University of British Columbia

On Mar 3 2013, Heinz, Alois wrote:

>
>seems to be correct:
>
>1,seq((2*n-1)!*coeff(series(exp(x*arcsin(x)),x,2*n+3),x,2*n), n=1..10);
>gives:
>1, 1, 4, 49, 1303, 63513, 5044601, 598488981, 99463522845, 
>22073876512113, 6308016788410641
>or
>1+add(a(n)*x^(2*n)/(2*n-1)!, n=1..5);
>gives
>1+x^2+2/3*x^4+49/120*x^6+1303/5040*x^8+7057/40320*x^10
>and
>series(exp(x*arcsin(x)), x, 11);
>gives
>1+x^2+2/3*x^4+49/120*x^6+1303/5040*x^8+7057/40320*x^10+O(x^12)
>
>Best regards, Alois
>
>Am 03.03.2013 13:24, schrieb Harvey P. Dale:
>> 	There is something wrong with the definition (Name) of this sequence.
>> 	Best,
>> 	Harvey
>>   
>
>
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