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.

A031608 Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 20.

This page as a plain text file.
%I A031608 #17 Sep 18 2021 18:33:53
%S A031608 2729,5233,8362,8917,24874,29873,31973,37997,38777,46237,54818,56698,
%T A031608 57173,58129,64129,64634,65141,66161,66674,67189,67706,68746,74713,
%U A031608 87277,88457,89645,90841,100186,101450,104002,104645,115333,116689,126541
%N A031608 Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 20.
%t A031608 cf20Q[n_]:=Module[{s=Sqrt[n],cf,len},cf=If[IntegerQ[s],{1,1},ContinuedFraction[ s][[2]]];len=Length[cf];OddQ[len]&&cf[[Floor[len/2]]] == cf[[Ceiling[len/2]]] ==20]; Select[ Range[ 130000],cf20Q] (* _Harvey P. Dale_, Sep 18 2021 *)
%Y A031608 Subsequence of A003814.
%K A031608 nonn
%O A031608 1,1
%A A031608 _David W. Wilson_
%E A031608 First term 401 removed by _Georg Fischer_, Jun 16 2019