1,151 reputation
729
bio website math.stackexchange.com/users/…
location Antarctica
age 79
visits member for 2 years, 2 months
seen 2 days ago

Self-learning mathematics. Many thanks to those who make time to help others on the site.


Apr
11
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 $0$?
Apr
11
asked Solving functional equation for generating function
Apr
11
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 $1+x\left(\sum_{n\ge 0}C_nx^n\right)^2$
Apr
10
comment Finding functional equation for generating function
yeah, it's not a big deal. :) I was just sort of stating it as an fyi.
Apr
10
comment Finding functional equation for generating function
your solution doesn't match the solution in the text :[
Apr
10
revised Finding functional equation for generating function
added 100 characters in body
Apr
10
asked Finding functional equation for generating function
Apr
9
comment Functional equations and generating functions
oh wow...Thanks for that.
Apr
9
accepted Functional equations and generating functions
Apr
9
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)?
Apr
9
revised Functional equations and generating functions
added 4 characters in body
Apr
9
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.
Apr
9
awarded  Cleanup
Apr
9
revised Functional equations and generating functions
rolled back to a previous revision
Apr
9
revised Functional equations and generating functions
added 5 characters in body
Apr
9
asked Functional equations and generating functions
Apr
3
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 $a_n = 2\binom{n+1}{3} + \binom{n+1}{2}$
Apr
3
accepted Recurrence relation for number of different square subboards
Apr
3
asked Recurrence relation for number of different square subboards
Apr
3
comment Stupid question - How do I calculate $\Phi(1.5)$?
Use a z-table...