On the notion of "coefficient" (related to A046887).

[T. D. Noe]

At 11:45 AM -0500 1/31/06, Edwin Clark wrote:
>On Tue, 31 Jan 2006, Giovanni Resta wrote:
>>
>> Cy(4)= x^2+1
>>
>> According to my personal (and probably erroneous) notion of "coefficient",
>> the coefficients of Cy(4) are  1,0,1,  since Cy(4)=1*x^2+0*x+1*1
>>
>
>Note that the code given for the sequence is in Maple and uses the Maple
>procedure "coeffs" which gives the nonzero coefficients of a polynomial.
>
>If you allow 0 coefficients, then Cy(1) = x-1 = 0*x^2+x-1 would
>also have 0 as a coefficient.

An then there is the issue of whether Cy(0) equals 1 or x.  Mathematica
uses 1; Maple uses x.

Tony