----- Original Message ---- From: Fred lunnon <fred.lunnon@gmail.com> To: math-fun <math-fun@mailman.xmission.com> Sent: Monday, January 7, 2008 11:47:53 AM Subject: Re: [math-fun] xkcd points out dangers of math fun On 1/7/08, Eugene Salamin <gene_salamin@yahoo.com> wrote:

... Maple 11 can do these. I will say that Maple 11 is a winner, while Maple 9 is a loser. ...

That's useful to know. Maple 10 was less appallingly flaky than Maple 9, but their @£$% licensing software kept clobbering it. I might try upgrading again, I suppose (groan!)

The denominators in the diagonal terms, R[p,p] seem to fit the pattern 1*3*5*...*(2p -1).

As I remarked earlier (attachment Jan 3rd), nobody seems previously to have noticed that u^{kk} = ( 1 + 1/3 + 1/5 + ... + 1/(2k-1) ) 2/\pi --- all the remaining values follow from these and u^{01} = 1/2, via \del^2 u^{kl} = 0. WFL _______________________________________________ Check maplesoftsoft.com. See if you can qualify for the student edition. It's identical to the professional edition, but costs only $160 or so. When I bought mine, I had to provide a school and student ID number, which I could do because I'm a distance student at U of Arizona. Do you have a proof for the value of u^{kk} ? Gene ____________________________________________________________________________________ Be a better friend, newshound, and know-it-all with Yahoo! Mobile. Try it now. http://mobile.yahoo.com/;_ylt=Ahu06i62sR8HDtDypao8Wcj9tAcJ