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- Jan 1st 2010, 04:44 AMOliverQHelp me with this recurrence equation

- Jan 1st 2010, 05:57 AMe^(i*pi)
- Jan 1st 2010, 07:41 AMSoroban
Hello, OliverQ!

Note: Everything here is, of course, my*opinion*.

I got tired of writing "I*think*... ", "It*seems*that ... ", "The pattern*might*be ..."

Quote:

If you want a function for the term,

. . I've made only a little progress.

I found some patterns among consecutive terms, but not all of them.

. .

. .

The numerators have the sum and difference of two integers:

. .

The exponents seem to be triangular numbers: 0, 1, 3, 6, . . .

The denominators are powers-of-2:

. .

The exponents are of the form: .

Nowis generating those -values? .*what*