OT - I'm bored, Part Four!

[Darkstone42]

"No! Try not. Do, or do not. There is no try."

I think that's my favorite Star Wars line.

 

[Darkstone42]

"There's real poetry in the real world. Science is the poetry of reality." -Richard Dawkins

 

[Winged_Wheel88]

So is there an algebraic formula for predicting palindrome numbers? Or is it impossible to predict, like prime numbers?

So is mathboy gonna answer this or do I have to take 3 seconds to google the answer?

 

[ritari330]

I think that's my favorite Star Wars line.

probably mine too

 

[ritari330]

So is mathboy gonna answer this or do I have to take 3 seconds to google the answer?

:sagan:

 

[ritari330]

:seguin:



The Tyler Seguin smilie doesn't work

 

[ritari330]

But yeah, Yoda is a Boss

 

[Darkstone42]

So is mathboy gonna answer this or do I have to take 3 seconds to google the answer?

I didn't see that.

Since it's really not mathematically significant, I can't imagine there is one, but I'll give deriving one a go.

11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 232, 242, 252, 262, ..., 100000000000001, ...

Let's see, for up to n=9, they can be predicted by Sn=11n. n=10 corresponds to S10=S9+2, and then each subsequent one is 10+ the previous.

No, not really. You have to just look for them, or define a formula with infinitely changing parameters.

 

[Darkstone42]

See, this is what I mean.

Palindromic Number -- from Wolfram MathWorld

 

[Winged_Wheel88]

I didn't see that.

Since it's really not mathematically significant, I can't imagine there is one, but I'll give deriving one a go.

11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 232, 242, 252, 262, ..., 100000000000001, ...

Let's see, for up to n=9, they can be predicted by Sn=11n. n=10 corresponds to S10=S9+2, and then each subsequent one is 10+ the previous.

No, not really. You have to just look for them, or define a formula with infinitely changing parameters.

 

[Darkstone42]

Yes?

 

[Winged_Wheel88]

Sorry, swallowed a bug.

 

[Comeds]

"Comes an age in a man's life when he don't wanna spend time figuring what comes next."

Obi Wan

 

[ritari330]

Okay simple answer, no

 

[Winged_Wheel88]

"Comes an age in a man's life when he don't wanna spend time figuring what comes next."

Obi Wan

You sure that ain't Mitch from Rocky?

 

[Comeds]

"Some big, hardboiled egg gets a look at a pretty face and bang, he cracks up and goes sappy! "
C3PO

 

[ritari330]

Since we are doing Star wars quotes...

“Fear is the path to the dark side. Fear leads to anger. Anger leads to hate. Hate leads to"

Yoda

 

[Darkstone42]

Another pattern in the hundreds is that each new hundred is gotten to by adding 11 to the last of the previous hundred.

After 999, you need only add 2 to get to 1001, then the next is 1111, which is 110 plus the previous, then 1221, again 110 plus the previous. For the 2000s, you'd go from 1991 to 2002, which is, again, +11, then +110 to 2112, etc.

So, yeah, there's a pattern, but I can't see how you'd describe it in terms of a formula unless you constantly redefined your parameters, which kind of defeats the purpose of the formula in the first place.

Unless you could devise a formula to predict at which values you would have to change parameters, and then you could say that for each m, m=1,2,3,... there is a correlated set of parameters for n.

I kind of want to do this now.

 

[Comeds]

You sure that ain't Mitch from Rocky?

Of that I am sure, though of course its not from Star Wars either. Its a line from James Coburn is Pat Garrett & Billy The Kid. And it was just used in a book I am reading.

 

[Darkstone42]

Since we are doing Star wars quotes...

“Fear is the path to the dark side. Fear leads to anger. Anger leads to hate. Hate leads to"

Yoda

...suffering.

EDIT: 6700!