From 4de6c0acec40732fcb18ae67e9cc5d8f28248da1 Mon Sep 17 00:00:00 2001 From: kenlig Date: Sat, 22 Jun 2019 17:25:05 +0800 Subject: [PATCH] Update catalan.md --- docs/math/catalan.md | 22 ++++++++++++++++++++++ 1 file changed, 22 insertions(+) diff --git a/docs/math/catalan.md b/docs/math/catalan.md index 80de29eb..5333e99a 100644 --- a/docs/math/catalan.md +++ b/docs/math/catalan.md @@ -24,3 +24,25 @@ $$ H_n=\frac{C_{2n}^{n}}{n+1}(n=1,2,3,\cdots) $$ + +或者是 + +$$ +H_n=H_0*H_(n-1)+H_1*H_(n-2)+...+H_(n-1)*H_0 +$$ + +$$ +其中有 n>=2 且 H_0=H_1=1 +$$ + +或者是 + +$$ +H_n=H_(n-1)*(4*n-2)/(n+1) +$$ + +或者是 + +$$ +H_n=C_{2n}^{n}-C_{2n}^{n-1} +$$ -- 2.11.0