A difficult problem, two years without an idea

Hehe, non-linear iteration is indeed not simple. First of all, we need to clarify what is called a general formula. Generally speaking:

Given n, an can be obtained by some kind of operation of n. But for this kind of operation, you need to have a sense of conciseness and interest, otherwise it is a general formula to write an recursively all the way, because given n can always be calculated in this way. Let me ask you one more question, what do you think about putting an=n!

Does it make sense to think of the general term formula as an+1=(n+1)an a1=1? From the point of view of high school math, the only meaning here is to create a symbol"!That's it, so it looks simple.

But in college we have n!(stirling formula), which makes sense to do so.

I just want to explain that there is no clear mathematical definition of the so-called general formula, and the so-called "general formula" is only found in several established patterns, so its level obviously cannot rise to the requirements of modern mathematics. But we can do some deep thinking. Why are the four arithmetic, exponential, and logarithmic operations considered "simple and basic"?

Is it possible to broaden the scope of basic operations? In fact, the creation of basic operations and symbols is very difficult and long, such as fractions and their operations, symbols have been developed for nearly a thousand years.

Going back to your question, before I asked rhetorically, what operations do you want your general term formula to consist of, and what are the strict structural constraints? Otherwise, I could recursively write down an answer all the time, or just create a symbol, for example"!!!"I'll just say an=n!!

Of course, I haven't done other research to make n !!What else is the point. I don't know if you understand what I mean?

You're a junior high school student right now, so it's probably hard to understand. Suggest taking a look at my other similar.

Are you a teacher or a student.

It is recommended that you use mathematical induction to prove it.

There's a patch for the number of people on the battlefield, you look for it, I can use it. But don't change too much, it will get stuck.

You go to the next Horseback Riding & ** Battlefield Numbers Patch.

I'm sorry, I haven't played in a long time.

There's a file in my doc that you can change as many people as you want.

You're not a 64-bit system.

In the context menu, select "Admin Ownership" and then select "Run as Administrator".

Try it, no, ask questions.

Try changing the computer user to the default user (administrator)!

In fact, the limb is quietly, the point m satisfies those conditions, and the spine seeks the coordinates of the point m.

There is no problem with the idea, the key is to simplify the process. The stupid place that needs to be matched is that m has a limit on the range of values. Also, instead of pushing up the last formula, we calculate x0 and y0 through these three formulas

However, the information should be more detailed, otherwise the appeal will fail.

Appeal, have you only set a password once? If you still remember the password set back, the older the better, my number was stolen once, I remembered the password I set for the first time and then said there to find the QQ number!

Fill in your ID card for appeal** and 3 (or more) QQ friends to help.