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A010340 Sum of terms in period of continued fraction for sqrt(n). 7

%I #9 Mar 30 2012 16:45:33

%S 0,2,3,0,4,6,7,5,0,6,9,8,10,10,7,0,8,12,17,10,14,18,13,9,0,10,15,18,

%T 16,12,25,13,14,16,11,0,12,18,16,15,16,14,29,20,20,34,19,13,0,14,21,

%U 26,22,26,20,16,22,20,27,18

%N Sum of terms in period of continued fraction for sqrt(n).

%C The entry for a perfect square is 0.

%H T. D. Noe, <a href="/A010340/b010340.txt">Table of n, a(n) for n=1..1000</a>

%t f[n_] := If[ IntegerQ[ Sqrt[n]], 0, Apply[ Plus, Last[ ContinuedFraction[ Sqrt[n]]]]]; Table[ f[n], {n, 1, 100} ]

%K nonn,nice

%O 1,2

%A _N. J. A. Sloane_, Walter Gilbert

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Last modified April 24 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)