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.
%I A168437 #23 Sep 08 2022 08:45:49 %S A168437 3,13,13,23,23,33,33,43,43,53,53,63,63,73,73,83,83,93,93,103,103,113, %T A168437 113,123,123,133,133,143,143,153,153,163,163,173,173,183,183,193,193, %U A168437 203,203,213,213,223,223,233,233,243,243,253,253,263,263,273,273,283 %N A168437 a(n) = 3 + 10*floor(n/2). %H A168437 Vincenzo Librandi, <a href="/A168437/b168437.txt">Table of n, a(n) for n = 1..1000</a> %H A168437 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1). %F A168437 a(n) = 10*n - a(n-1) - 4, with n>1, a(1) = 3. %F A168437 a(n) = 10*floor(n/2) + 3 = A168641(n) + 3. - _Rick L. Shepherd_, Jun 17 2010 %F A168437 G.f.: x*(3 + 10*x - 3*x^2)/((1+x)*(x-1)^2). - _Vincenzo Librandi_, Sep 19 2013 %F A168437 a(n) = a(n-1) +a(n-2) -a(n-3). - _Vincenzo Librandi_, Sep 19 2013 %F A168437 a(n) = (1 + 5*(-1)^n + 10*n)/2. - _Bruno Berselli_, Sep 19 2013 %F A168437 E.g.f.: (1/2)*(5 - 6*exp(x) + (10*x + 1)*exp(2*x))*exp(-x). - _G. C. Greubel_, Jul 22 2016 %t A168437 Table[3 + 10 Floor[n/2], {n, 70}] (* or *) CoefficientList[Series[(3 + 10 x - 3 x^2)/((1 + x) (x - 1)^2), {x, 0, 70}], x] (* _Vincenzo Librandi_, Sep 19 2013 *) %t A168437 LinearRecurrence[{1,1,-1},{3,13,13},70] (* _Harvey P. Dale_, May 26 2021 *) %o A168437 (PARI) a(n)=n\2*10+3 \\ _Charles R Greathouse IV_, Jan 11 2012 %o A168437 (Magma) [3+10*Floor(n/2): n in [1..70]]; // _Vincenzo Librandi_, Sep 19 2013 %Y A168437 Bisections of A168437 are A017305 and (A017305 MINUS {3}). - _Rick L. Shepherd_, Jun 17 2010 %K A168437 nonn,easy %O A168437 1,1 %A A168437 _Vincenzo Librandi_, Nov 25 2009 %E A168437 Edited by _Rick L. Shepherd_, Jun 17 2010 %E A168437 Definition rewritten, using Shepherd's formula, by _Vincenzo Librandi_, Sep 19 2013