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.

A168337 a(n) = 1 + 7*floor(n/2).

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%I A168337 #24 Sep 08 2022 08:45:49
%S A168337 1,8,8,15,15,22,22,29,29,36,36,43,43,50,50,57,57,64,64,71,71,78,78,85,
%T A168337 85,92,92,99,99,106,106,113,113,120,120,127,127,134,134,141,141,148,
%U A168337 148,155,155,162,162,169,169,176,176,183,183,190,190,197,197,204,204,211
%N A168337 a(n) = 1 + 7*floor(n/2).
%H A168337 Vincenzo Librandi, <a href="/A168337/b168337.txt">Table of n, a(n) for n = 1..1000</a>
%H A168337 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1).
%F A168337 a(n) = 7*n - a(n-1) - 5, with n>1, a(1)=1.
%F A168337 From _Vincenzo Librandi_, Sep 18 2013: (Start)
%F A168337 G.f.: x*(1 + 7*x - x^2)/((1+x)*(x-1)^2).
%F A168337 a(n) = a(n-1) +a(n-2) -a(n-3).
%F A168337 a(n) = (14*n + 7*(-1)^n - 3)/4. (End)
%F A168337 a(n) = A168333(n) - 1 = A168374(n) + 1. - _Bruno Berselli_, Sep 18 2013
%F A168337 E.g.f.: (1/2)*(-2 + (7*x + 2)*cosh(x) + (7*x - 5)*sinh(x)). - _G. C. Greubel_, Jul 18 2016
%t A168337 Table[ 1 + 7*floor(n/2) , {n,60}] (* _Bruno Berselli_, Sep 18 2013 *)
%t A168337 CoefficientList[Series[(1 + 7 x - x^2)/((1 + x) (x - 1)^2), {x, 0, 70}], x] (* _Vincenzo Librandi_, Sep 18 2013 *)
%o A168337 (Magma) [7*n/2 + 7*(-1)^n/4 - 3/4: n in [1..70]]; // _Vincenzo Librandi_, Sep 18 2013
%Y A168337 Cf. A016993, A168333, A168374.
%K A168337 nonn,easy,less
%O A168337 1,2
%A A168337 _Vincenzo Librandi_, Nov 23 2009
%E A168337 New definition by _Bruno Berselli_, Sep 18 2013