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.

A010732 (17-(-1)^n)/2.

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%I A010732 #26 Aug 05 2025 11:28:55
%S A010732 8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,
%T A010732 8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8,9,
%U A010732 8,9,8,9,8,9,8,9,8,9,8,9,8
%N A010732 (17-(-1)^n)/2.
%H A010732 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,1).
%F A010732 Period 2.
%F A010732 G.f.: (-8-9*x) / ((x-1)*(1+x)). - _R. J. Mathar_, Nov 21 2011
%F A010732 a(n) = 8 + (n mod 2) = 9 - ((n+1) mod 2) = (2 + (n mod 2))^(2 + ((n+1) mod 2)). - _Wesley Ivan Hurt_, Apr 16 2014
%p A010732 A010732:=n->(17-(-1)^n)/2; seq(A010732(n), n=0..100); # _Wesley Ivan Hurt_, Apr 16 2014
%t A010732 Table[(17 - (-1)^n)/2, {n, 0, 100}] (* _Wesley Ivan Hurt_, Apr 16 2014 *)
%t A010732 LinearRecurrence[{0,1},{8,9},100] (* or *) PadRight[{},100,{8,9}] (* _Harvey P. Dale_, Aug 05 2025 *)
%o A010732 (PARI) a(n)=(17-(-1)^n)/2 \\ _Charles R Greathouse IV_, Oct 07 2015
%K A010732 nonn,easy
%O A010732 0,1
%A A010732 _N. J. A. Sloane_, Dec 11 1996