Question about A006906

[Max Alekseyev]

On 5/18/07, David Wilson <davidwwilson at comcast.net> wrote:
>
>
> Shouldn't A006906(0) = 0?

No. For n=0 there exists an empty partition (counted by A000041(0)=1).
The product of its terms equals 1 by the definition of the empty
product:
http://en.wikipedia.org/wiki/Empty_product
Therefore, A006906(0) equals the sum of one term equal 1, i.e., A006906(0)=1.

Max



David is right, strictly speaking, since
there are no terms.  But the leading term
changing the definition to:
%N A006906 a(0) = 1; for n >=1, a(n) = sum of products of terms in all partitions of n.
Neil

> Shouldn't A006906(0) = 3 D 0 ?