cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A096495 Number of distinct terms in the periodic part of the continued fraction for sqrt(prime(n)).

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%I A096495 #23 Nov 10 2021 07:07:05
%S A096495 1,2,1,2,2,2,1,4,3,3,4,1,2,4,3,3,4,5,5,4,3,3,2,3,3,1,5,4,6,3,6,4,3,6,
%T A096495 5,7,5,6,3,3,6,6,6,5,1,7,8,3,2,3,3,6,5,5,1,4,2,7,7,5,6,3,6,6,6,5,8,6,
%U A096495 5,4,4,3,7,3,9,4,3,7,1,6,6,8,7,6,3,2,5,7,5,9,4,6,9,8,4,4,6,6,8,9,8,2,4,6,10
%N A096495 Number of distinct terms in the periodic part of the continued fraction for sqrt(prime(n)).
%H A096495 Amiram Eldar, <a href="/A096495/b096495.txt">Table of n, a(n) for n = 1..10000</a>
%F A096495 a(n) = A028832(A000040(n)). - _Amiram Eldar_, Nov 10 2021
%e A096495 n = 31: prime(31) = 127, and the periodic part is {3,1,2,2,7,11,7,2,2,1,3,22}, so a(31) = 6.
%t A096495 {te=Table[0, {m}], u=1}; Do[s=Length[Union[Last[ContinuedFraction[Prime[n]^(1/2)]]]]; te[[u]]=s;u=u+1, {n, 1, m}];te
%t A096495 Table[Length[Union[ContinuedFraction[Sqrt[Prime[n]]][[2]]]],{n,110}] (* _Harvey P. Dale_, Jun 22 2017 *)
%Y A096495 Cf. A003285, A028832, A054269, A005980, A096491, A096492, A096493, A096494, A096496.
%K A096495 nonn
%O A096495 1,2
%A A096495 _Labos Elemer_, Jun 29 2004