Christmas (2015) is coming!

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Comments in green were written by me. Comments in blue were not written by me.
@Anonymous2: Other winners and answers will be available from 1st January
How many wrong answers do I have ? And when will you publish the solutions ?
@Anonymous1: You are (now) correct and on the leaderboard. Well done!
I've submitted my answer! On Christmas too! It's just that I sorta crammed all of the answers today :/

Are you allowed to tell me if I am correct?
I'm so glad for OEIS.

hint hint
@asdf: Five completely correct entries so far. I'll announce the first batch of winners soon...
Has anyone won yet?
@Mike D: There was a picture missing. It has now been corrected.
"9 December
You start at A and are allowed to move either to the right or upwards.
How many different routes are there to get from A to B?"

is there supposed to be some picture going with this question?
Mike D
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