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A090664 a(n) = n-th term of the continued fraction for the n-th root of n. 0

%I #5 Jan 28 2023 19:15:48

%S 2,3,2,1,9,4,2,5,3,1,14,27,5,1,1,3,5,2,1,7,2,1,4,1,10,5,56,2,1,3,36,3,

%T 1,3,9,7,8,8,1,4,1,2,60,1,1,684,2,11,1,1,2,1,2,4,2,7,5,9,1,3,5,5,1,14,

%U 3,1,1,9,1,3,5,8,30,1,2,2,3,1,1,1,5,3,2,23,2,1,31,1,2,1,1,7,1,1,3,1,1,5,6

%N a(n) = n-th term of the continued fraction for the n-th root of n.

%t Table[ContinuedFraction[Surd[n,n],n+25][[n]],{n,2,100}] (* _Harvey P. Dale_, Jan 28 2023 *)

%o (PARI) f(n) = for(x=2,n,a=contfrac(x^(1/x));print1(a[x]","))

%K nonn

%O 2,1

%A _Cino Hilliard_, Dec 15 2003

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