9.
若数列\(A\):\(a_{1}\),\(a_{2}\),\(…\),\(a_{n}(n\geqslant 3)\)中\(a_{i}∈N^{*}(1\leqslant i\leqslant n)\)且对任意的\(2\leqslant k\leqslant n-1\),\(a_{k+1}+a_{k-1} > 2a_{k}\)恒成立,则称数列\(A\)为“\(U-\)数列”.
\((1)\)若数列\(1\),\(x\),\(y\),\(7\)为“\(U-\)数列”,写出所有可能的\(x\)、\(y\);
\((2)\)若“\(U-\)数列”\(A\):\(a_{1}\),\(a_{2}\),\(…\),\(a_{n}\)中,\(a_{1}=1\),\(a_{n}=2017\),求\(n\)的最大值;
\((3)\)设\(n_{0}\)为给定的偶数,对所有可能的“\(U-\)数列”\(A\):\(a_{1}\),\(a_{2}\),\(…\),\(a_{n_{0}}\),记\(M=max\{a_{1},a_{2},…,a_{n_{0}}\}\),其中\(max\{x_{1},x_{2},…,x_{s}\}\)表示\(x_{1}\),\(x_{2}\),\(…\),\(x_{s}\)这\(s\)个数中最大的数,求\(M\)的最小值.