#include using namespace std; using VS = vector; using LL = long long; using VI = vector; using VVI = vector; using PII = pair; using PLL = pair; using VL = vector; using VVL = vector; #define ALL(a) begin((a)),end((a)) #define RALL(a) (a).rbegin(), (a).rend() #define PB push_back #define EB emplace_back #define MP make_pair #define SZ(a) int((a).size()) #define SORT(c) sort(ALL((c))) #define RSORT(c) sort(RALL((c))) #define UNIQ(c) (c).erase(unique(ALL((c))), end((c))) #define FOR(i, s, e) for (int(i) = (s); (i) < (e); (i)++) #define FORR(i, s, e) for (int(i) = (s); (i) > (e); (i)--) #define debug(x) cerr << #x << ": " << x << endl const int INF = 1e9; const LL LINF = 1e16; const LL MOD = 1000000007; const double PI = acos(-1.0); int DX[8] = { 0, 0, 1, -1, 1, 1, -1, -1 }; int DY[8] = { 1, -1, 0, 0, 1, -1, 1, -1 }; /* ----- 2018/04/12 Problem: yukicoder 053 / Link: http://yukicoder.me/problems/no/053 ----- */ /* ------問題------ 以下の漸化式で定義される数列 {Ak}∞k=0 の第 N 項 AN を求めるプログラムを書け。   A0=4,   A1=3,   4Ak=19Ak−1−12Ak−2,k≥2. -----問題ここまで----- */ /* -----解説等----- ----解説ここまで---- */ LL N; int main() { cin.tie(0); ios_base::sync_with_stdio(false); cin >> N; vector a(N+1, 0); a[0] = 4; a[1] = 3; FOR(i, 2, N + 1) { a[i] = (19*a[i-1] -12*a[i-2]) / 4.0; } double ans = a[N]; cout <