Here comes the next riddle.  What's the rest of this sequence?

3, 3, 1, 2, 4, 3, 2, 3, 1, 1
 

Is this an actual mathematical sequence, or some other form of trickery?

Ok... I see no easily discerned maths-y basis for this, I know it's possible to construct a polynomial that produces any sequence you like, but don't know how (and I doubt the answer is a complex polynomial)

It's not the number of letters/vowels in each word of the text above it...

For a second there I thought it could be the number of vowels in the name of each successive month, all went horribly wrong at May though.

How many more numbers make up the rest of the sequence?

3, 2, 0, 1, 2, 1?

@SK, I'm disappointed you don't know how to construct a polynomial this way.  It's just a little bit of linear algebra.  (As you suspect, the answer is not a polynomial.)

This is great, Monty and SK duking it out for scoreboard supremacy.  I thought maybe Monty was onto it but his answer is not quite right.

Ah well, I guess I shouldn't expect a flood of answers.  More hints tomorrow (at least, more of the sequence).
 

I'm still only 1/6th of the way into a maths A-level, can't blame me if I haven't learned stuff yet 

*quietly watching SK and Sir M duking it out*

(King, Sir and 'duke' in the same sentence - did I travel back into time??)
 

Hopefully this is not giving you a giant headache.  It wasn't meant to be a task for John Henry.  The next ten numbers are

3, 2, 4, 3, 1, 2, 2, 3, 1, 2

You may want to pay special attention to the even numbers.  Then again, I wouldn't say that everything right is wrong again.

Only six numbers left in the sequence.
 

@SK, I'm not familiar with the British system; what do you learn in A-level?

There's a whole bunch of stuff in the A-Level, especially when you're actually taking "double maths" like I am (2 A-levels worth, technically 1 of "Maths" and 1 of "Further Maths").

The first year is divided into 6 modules - Core 1, Core2 and Further Pure 1, plus 3 applied modules, Decision (networks and algorithms), Mechanics (stuff moving) and Statistics (...statistics). Next year we do more Core/Further Pure modules, and get a choice of applied modules

Reading from the specification online, Core 1 covers algebra, co-ordinate geometry, differentiation and integration. Core 2 covers algebra + functions, sequences + series, trigonometry and exponentials + logarithms

Further Pure 1 is Algebra + Graphs, Complex Numbers, Roots + coefficients of a quadratic equation, Series, Calculus, Numerical Methods, Trigonometry and Matrices + Transformations.

I'm currently half way through Core 2 and Further Pure 1, so maybe the series section in the further maths will cover how to do this stuff. As is, I tried looking for a common difference/ratio from one number to the next and couldn't find one...

A-Maths is so much more fun than E-Maths

You'll more likely find it in the matrices section.

My first guess is that you won't have any idea untill you encounter this number sequence yourself...

Works for me, i got no idea.

Unfortunately i've forgotten all the things that SK has yet to learn.
 

1, 2, 4, 2, 3, 3.

And Monty gets it...

If you are still struggling, track down the They Might Be Giants video podcast featuring the song Even Numbers for inspiration.
 

errrrrmmmm.... wokay

So... Did this ever make any sense? Is the numbers random or are there really any sequence?

Found the lyrics to that song here: http://tmbw.net/wiki/Lyrics:Even_Numbers

Since the sequence contains odd numbers, I guess you're not referring to the "Skip all the numbers that are not even" part. Could be the "Skip the next, take the next, skip the next" part though.

Is the sequence we see actually only every second number of the real sequence?

Even if that's it, I still see no pattern underlying it.

This should help. Starting around 3:30

http://www.zooglobble.com/archives/2008/01/video_even_numbers_they_might_be_gi.html
 

That appears to be the numbers from 1 to 16.

I'm still not seeing it

Make sure you watch the whole thing from start to finish.

Yeah... lots of numbers. None of them seeming to relate to the sequence at the top.

Have a look at the bit after the numbers.

Ooh, i forgot my victory dance....

Note that you are to watch the podcast featuring the song Even Numbers -- that particular song has nothing to do with it (except that that is the episode is identified).  A convenient coincidence for a tricky riddle...

ok.. immediately after the numbers was the "letter shapes".

I think I see it now. [text whited out] Number of lines drawn in each letter?

A = 2 sides + a bar = 3
B = side + 2 curves = 3
C = one stroke
D = side + curve = 2
E = 4 lines

3, 3, 1, 2, 4 and etc.

Oh yes, a riddle of trickyness it was too.

One thing still bugging me - why would this be in the matrices section? (Started that topic today actually..)

LOL! Now I get it! "ABCDE..." was in the beginning of the video.

grrrrrrrrr

Love the victory dance tho!! I want one with Bumblebee in it!
 

Ok, it doesn't dance, but it does transform.

The matrices section referred to when you might learn to fit polynomials to data not to anything to do with the riddle.

LOL! That's so cute Sir m!!

The matrices section referred to when you might learn to fit polynomials to data not to anything to do with the riddle.

Still... said polynomial wouldn't have produced the answers you were looking for. Just come up with a pattern that they happen to fit (and probably involved ridiculously overcomplicated amounts of algebra to prove it) 

@SK, right.  I was just having a conversation with you not trying to help you solve the riddle.  BTW, it doesn't involve algebra in the sense you likely mean it.  You just need to invert a matrix.

Fair enough... I guess

(Still haven't learned enough stuff on matrices to know what you mean )

Oh dear...I would have said "well done " Sir Montague..but Hey!! what new with that?

I'm just grateful you used some of your most valuable time to almost acknowledge my efforts.

I always acknowledge your fine effort.

HAHAHAH You guys are funny

Put 'em back Dek, I wanna know what they said.

Maybe you don't...

Just random images of a bollywood actress

Yeah, sure... 

whatever

No?