[seqfan] Re: A191301

[Max Alekseyev]

I agree. The sequence should start with offset 1.
Max

On Sun, Mar 3, 2013 at 3:08 PM,  <israel at math.ubc.ca> wrote:
> 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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>
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