What's the next polynomial in this series?
November 27, 2007 7:23 AM Subscribe
What's the next polynomial in this series: x4
posted by Mapes to Science & Nature (14 answers total) 7 users marked this as a favorite
I'm doing some work in elasticity and have found an analytical solution to a tricky problem. The solution is a converging infinite series, and I've been able to work out the first two terms (with great difficulty). It may be easier to guess the additional terms than work them out. The next polynomial almost certainly has seven terms, including x12 and 2,176,782,336 (612). Any guesses as to what the other coefficients are, and what the general pattern is?
(The sum converges because the denominators are (4+x2)5/2, (16+x2)9/2, ... and every other term is subtracted.)