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 Apr 12 revised There are apparently $3072$ ways to draw this flower. But why? No answer should ever start out with "that's obvious." If it was, the questioner would not have asked it. Also fixed a couple of typos. Apr 12 suggested approved edit on There are apparently $3072$ ways to draw this flower. But why? Oct 12 comment Trying to understand the phrasing of an elementary combinatorics question's answer 4^13 / binomial(52,13) is roughly one in 10,000. Sep 15 revised Can someone estimate the limit of this function? Explicitly added graph of function. Sep 15 suggested approved edit on Can someone estimate the limit of this function? Jul 9 comment Find a countable family of closed intervals contained in $[0,1]$ such that the union covers $[0,1]$ but there is no finite subcover. Use your above "trick" but instead of converging on zero, converge on 1/2. Then you don't have to worry about the particular definition of interval. Jul 9 revised Ruffini's Rule with parametric binomial Added link to Ruffini's rule Jul 9 suggested approved edit on Ruffini's Rule with parametric binomial Jul 8 comment Is there a obvious pattern between a Catalan number and another? A simple google search returns many. What have you tried? Jun 30 answered Is optimal bound for Alcuin's triangular city problem known? May 27 awarded Informed Feb 18 answered approximating with a class of indicator functions: any theorems? Feb 17 revised approximating with a class of indicator functions: any theorems? Clarified the example. Feb 17 comment approximating with a class of indicator functions: any theorems? If by "nicely behaving" you mean, "functions that are continuous" then L2 and uniform convergence is equivalent on compact domains. I do not know however if the sets you specified above could be used to approximate any continuous function on a compact domain in R^n. Feb 17 suggested approved edit on approximating with a class of indicator functions: any theorems? Feb 17 comment approximating with a class of indicator functions: any theorems? You added "nicely behaving" after I posted my comment. My training (long ago) was in real analysis and measure theory, in that field, you use finite sums of indicator functions to prove everything. Restricting yourself to nicely behaving means that yes, there are lots of possibilities, but your question is too open ended for me to help you. Providing more of your context will help you get better answers. Feb 17 comment approximating with a class of indicator functions: any theorems? Uniform convergence of linear combinations of indicator functions do not converge to anything interesting. If your metric of interest was $L^p$ then we could start to have a lot of conversations. Feb 1 awarded Yearling Jan 7 comment Is this sequence monotone or not? a_1 is not defined. Dec 8 awarded Caucus