# Complete the rest of this seasonal sequence

Usually I don't like this kind of "guess the next terms" puzzle.
But at this time of the year I wonder whether it makes sense to post such a question.

So here is the start of a sequence: $$33, 3, 33, 3, 35, 12, 3, 0, 44, 4, 43, 3, 32, \dots$$ The task is to complete the sequence.

Note on the source: the sequence is definitely not created by me, but the puzzle is my creation (as long as it hasn't been coincidentally posted before).

Let's provide the next 3 terms to bring this sequence to a pleasing place to pause:

33, 3, 33, 3, 35, 12, 3, 0, 44, 4, 43, 3, 32, 23, 2, 5

If you're wondering what's going on here, perhaps it might help to replace these numbers with letters, like so:

EE, E, EE, E, EG, CD, E, x, FF, F, FE, E, ED, DE, D, G

Since this corresponds to...

...the main musical notes required to play the chorus line of the festive classic Jingle Bells! In fact, if you wish to play the tune on a piano using just the right hand the numbers here could represent the fingers used to play it, numbering the thumb as '1', through to the pinky as '5'. (NB The '0' and the equivalent 'x' represent a rest where no note is played.)

 3  3   | 3     | 3  3   | 3     | 3  5   | 1   2   | 3   | 0      |
E  E   | E     | E  E   | E     | E  G   | C   D   | E   | x      |
Jingle | bells | Jingle | bells | Jingle | all the | way | (rest) |

4  4    | 4    | 4     3  | 3         | 3   2     | 2 3   | 2      | 5    |
F  F    | F    | F (F) E  | E   (E)(E)| E   D     | D E   | D      | G    |
Oh what | fun  | It is to | ride in a | one horse | o-pen | sleigh | HEY! |