From 6192ed79db1406afb918be1e9ae80012b9ce5628 Mon Sep 17 00:00:00 2001
From: Tommy Chiang <ty1208chiang@gmail.com>
Date: Sat, 21 Oct 2023 06:22:45 +0800
Subject: [PATCH] Make combinatorial bounds shorter

---
 codes/Math/Bounds.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/codes/Math/Bounds.tex b/codes/Math/Bounds.tex
index 7d047192..8b63b20e 100644
--- a/codes/Math/Bounds.tex
+++ b/codes/Math/Bounds.tex
@@ -45,6 +45,6 @@
 \begin{tabular}{c|c@{\ }c@{\ }c@{\ }c@{\ }c@{\ }c@{\ }c@{\ }c@{\ }c@{\ }c@{\ }c@{\ }c@{\ }c@{\ }c@{\ }c}
 $n$             & 1 & 2 & 3  & 4  & 5   & 6   & 7    & 8     & 9     & 10     & 11     & 12      & 13       & 14       & 15\\
 \hline
-$\binom{2n}{n}$ & 2 & 6 & 20 & 70 & 252 & 924 & 3432 & 12870 & 48620 & 184756 & 705432 & 2704156 & 10400600 & 40116600 & 155117520\\
+  $\binom{2n}{n}$ & 2 & 6 & 20 & 70 & 252 & 924 & 3432 & 12870 & 48620 & 184756 & 705432 & $\sim2\times10^6$ & $\sim10^7$ & $\sim4\times10^7$ & $\sim1.5\times10^8$ \\
 \end{tabular}\\
 \end{center}