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 A282738 #9 Mar 04 2017 03:51:59 %S A282738 1,2,1,4,1,5,1,6,1,7,1,8,1,9,1,10,1,11,1,12,1,13,1,14,1,15,1,16,1,17, %T A282738 1,18,1,19,1,20,1,21,1,22,1,23,1,24,1,25,1,26,1,27,1,28,1,29,1,30,1, %U A282738 31,1,32,1,33,1,34,1,35,1,36,1,37,1,38,1,39,1,40,1,41,1 %N A282738 First differences of A282737. %H A282738 Colin Barker, <a href="/A282738/b282738.txt">Table of n, a(n) for n = 0..1000</a> %H A282738 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,2,0,-1). %F A282738 G.f.: (1 + 2*x - x^2 - x^5) / (1 - x^2)^2. %F A282738 From _Colin Barker_, Mar 04 2017: (Start) %F A282738 a(n) = 2*a(n-2) - a(n-4) for n>3. %F A282738 a(n) = 1 for n>1 and even. %F A282738 a(n) = (n+5) / 2 for n>1 and odd. %F A282738 (End) %o A282738 (PARI) Vec((1 + 2*x - x^2 - x^5) / ((1 - x)^2*(1 + x)^2) + O(x^100)) \\ _Colin Barker_, Mar 04 2017 %Y A282738 Cf. A282737. %Y A282738 A152271 and A133622 are very similar sequences. %K A282738 nonn,easy %O A282738 0,2 %A A282738 _N. J. A. Sloane_, Mar 04 2017