AlanH
Reputation
1,181
Top tag
Next privilege 2,000 Rep.
7 31
Impact
~31k people reached

# 392 Actions

 Apr11 accepted Solving functional equation for generating function Apr11 comment Solving functional equation for generating function But doesn't that change the value of the sum? Apr11 comment Solving functional equation for generating function Yeah, I've been trying to figure out how to get the indices to start at $0$ all day. Why is it you can just start the the indices (in your hint) at $0$? Apr11 asked Solving functional equation for generating function Apr11 comment Simplifying Catalan number recurrence relation @BrianM.Scott In the first half of your answer, how do you go from $1+x\sum_{n\ge 0}\sum_{k=0}^nC_kC_{n-k}x^n$ to $1+x\left(\sum_{n\ge 0}C_nx^n\right)^2$ Apr10 comment Finding functional equation for generating function yeah, it's not a big deal. :) I was just sort of stating it as an fyi. Apr10 comment Finding functional equation for generating function your solution doesn't match the solution in the text :[ Apr10 revised Finding functional equation for generating function added 100 characters in body Apr10 asked Finding functional equation for generating function Apr9 comment Functional equations and generating functions oh wow...Thanks for that. Apr9 accepted Functional equations and generating functions Apr9 comment Functional equations and generating functions okay so you used the generalized binomial theorem, then how do you get the coefficient of $x^k$ in (3)? Apr9 revised Functional equations and generating functions added 4 characters in body Apr9 comment Functional equations and generating functions @robjohn I was curious what rollback was. I'll change it back; I didn't edits bumped questions up. Sorry. I'm still going through your response. Apr9 awarded Cleanup Apr9 revised Functional equations and generating functions rolled back to a previous revision Apr9 revised Functional equations and generating functions added 5 characters in body Apr9 asked Functional equations and generating functions Apr3 comment Recurrence relation for number of different square subboards I see that, but I don't see how my text arrived at $a_n = a_{n-1} + 2\binom{n}{2} + n$ and $a_n = 2\binom{n+1}{3} + \binom{n+1}{2}$ Apr3 accepted Recurrence relation for number of different square subboards