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 Nov 21 awarded Popular Question Jun 8 awarded Caucus Dec 18 awarded Yearling Oct 11 asked When does $a + b$ divide $a^p + b^p$? Oct 11 asked Why does $a^n - b^n$ never divide $a^n + b^n$? Aug 29 awarded Good Question Aug 29 comment What's the probability that a sequence of coin flips never has twice as many heads as tails? This solution is beautiful! One thing I don't understand is, how did you set boundary conditions for the region n >= 0? Aug 27 comment What's the probability that a sequence of coin flips never has twice as many heads as tails? Wow, incredible (both the write up and the result itself)! However, I have a slight point of confusion--why is S(1) = 1, rather than 3? Aug 27 comment What's the probability that a sequence of coin flips never has twice as many heads as tails? Sorry, I'm not sure I follow. Can you please explain what P(n) represents in slightly more detail? Aug 27 awarded Nice Question Aug 27 asked What's the probability that a sequence of coin flips never has twice as many heads as tails? Aug 24 awarded Nice Question Aug 22 awarded Enlightened Aug 22 awarded Nice Answer Jul 30 awarded Nice Question Jul 10 comment Proving the countability of algebraic numbers An alternative approach to showing that polynomials with integer coefficients are countable: consider the bijection $\phi: \mathbb{Z}[x] \rightarrow \mathbb{N}$ that sends the polynomial $a_0 + a_1x + a_2x^2 + \ldots + a_nx^n$ to the natural number $2^{b_0}3^{b_1}5^{b_2}\cdots p_n^{b_n}$ (notation: $p_i$ is the $i$-th prime number and $b_i$ is the image of $a_i$ under any bijection from the integers to the natural numbers). Jul 9 comment Motivating linear algebra for economics students? Why the -1? Anything I can do to improve this question? Jul 9 asked Motivating linear algebra for economics students? Jul 7 awarded Enlightened Jul 5 awarded Populist