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.

A010718 Periodic sequence: repeat [5, 7].

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%I A010718 #33 May 15 2025 11:51:01
%S A010718 5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,
%T A010718 5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,5,7,
%U A010718 5,7,5,7,5,7,5,7,5,7,5,7,5
%N A010718 Periodic sequence: repeat [5, 7].
%C A010718 Also continued fraction expansion of (35 + sqrt(1365))/14. - _Bruno Berselli_, Sep 29 2011
%C A010718 Decimal expansion of 19/33. - _R. J. Mathar_, May 15 2025
%H A010718 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,1).
%F A010718 From _Paolo P. Lava_, Oct 20 2006: (Start)
%F A010718 a(n) = (-1)^(n+1) + 6.
%F A010718 (End)
%F A010718 From _Vincenzo Librandi_, Aug 01 2010: (Start)
%F A010718 a(n) = a(n-2) for n > 1, with a(0)=5, a(1)=7.
%F A010718 G.f.: (5+7*x)/((1-x)*(1+x)). (End)
%p A010718 seq(op([5, 7]), n=0..100); # _Wesley Ivan Hurt_, Dec 26 2016
%t A010718 (-1)^(Range[0, 100] + 1) + 6 (* _Wesley Ivan Hurt_, Dec 26 2016 *)
%o A010718 (Magma) &cat [[5, 7]^^50]; // _Wesley Ivan Hurt_, Dec 26 2016
%o A010718 (PARI) for(n=0,20, print1((-1)^(n+1) + 6, ", ")) \\ _G. C. Greubel_, Dec 26 2016
%o A010718 (Python)
%o A010718 def A010718(n): return 5 + 2*(n & 1) # _Chai Wah Wu_, May 25 2022
%K A010718 nonn,easy
%O A010718 0,1
%A A010718 _N. J. A. Sloane_
%E A010718 Definition rewritten by _Bruno Berselli_, Sep 29 2011