Could someone compute a few more terms for A006128 ?

Emeric Deutsch deutsch at duke.poly.edu
Tue Nov 8 00:40:18 CET 2005


Take only the first 60 terms of the given g.f.

g:=sum(n*x^n*product(1/(1-x^k),k=1..n),n=1..60):

We are neglecting terms starting from x^61.

Maple gives at once the following coefficients of the series of g:

[0, 1, 3, 6, 12, 20, 35, 54, 86, 128, 192, 275, 399, 556, 780, 1068, 1463, 
1965, 2644, 3498, 4630, 6052, 7899, 10206, 13174, 16851, 21522, 27294, 
34545, 43453, 54563, 68135, 84927, 105366, 130462, 160876, 198014, 242812, 
297201, 362587, 441546, 536104, 649791, 785437, 947812, 1140945, 1371173, 
1644136, 1968379, 2351597, 2805218, 3339869, 3970648, 4712040, 5584141, 
6606438, 7805507, 9207637]

E. Deutsch

On Tue, 8 Nov 2005, Thomas Baruchel wrote:

> Hi,
>
> working on the complexity of some function in a library I am currently
> writing, I would like to have A006128 up to n=48 (or more ;-)
> I have written a piece of code, but it quickly becomes very slow.
> Could someone post on seqfan (and add to the database) a few more terms ?
>
> Regards,
>
> -- 
> Thomas Baruchel
>  Home Page: http://baruchel.free.fr/~thomas/
>





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