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 A144396 #50 Aug 02 2023 07:17:37 %S A144396 3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49, %T A144396 51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95, %U A144396 97,99,101,103,105,107,109,111,113,115,117,119,121,123,125,127,129,131,133 %N A144396 The odd numbers greater than 1. %C A144396 Last number of the n-th row of the triangle described in A142717. %C A144396 If negated, these are also the values at local minima of the sequence A141620. %C A144396 a(n) is the shortest leg of the n-th Pythagorean triple with consecutive longer leg and hypotenuse. The n-th such triple is given by (2n+1,2n^2+2n, 2n^2+2n+1), so that the longer legs are A046092(n) and the hypotenuses are A099776(n). - _Ant King_, Feb 10 2011 %C A144396 Numbers k such that the symmetric representation of sigma(k) has a pair of bars as its ends (cf. A237593). - _Omar E. Pol_, Sep 28 2018 %C A144396 Numbers k such that there is a prime knot with k crossings and braid index 2. (IS this true with "prime" removed?) - _Charles R Greathouse IV_, Feb 14 2023 %H A144396 Muniru A Asiru, <a href="/A144396/b144396.txt">Table of n, a(n) for n = 1..1000</a> %H A144396 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1) %F A144396 a(n) = A005408(n+1) = A000290(n+1) - A000290(n). %F A144396 G.f.: x*(3-x)/(1-x)^2. - _Jaume Oliver Lafont_, Aug 30 2009 %F A144396 a(n) = A254858(n-1,2). - _Reinhard Zumkeller_, Feb 09 2015 %p A144396 seq(n,n=3..200,2); # _Muniru A Asiru_, Sep 28 2018 %t A144396 Range[3, 200, 2] (* _Vladimir Joseph Stephan Orlovsky_, Feb 19 2012 *) %o A144396 (Haskell) %o A144396 a144396 = (+ 1) . (* 2) %o A144396 a144396_list = [3, 5 ..] -- _Reinhard Zumkeller_, Feb 09 2015 %o A144396 (GAP) List([3,5..200],n->n); # _Muniru A Asiru_, Sep 28 2018 %o A144396 (PARI) a(n)=2*n+1 \\ _Charles R Greathouse IV_, Feb 14 2023 %Y A144396 Complement of A004275 and of A004277. %Y A144396 Cf. A000217, A002378, A005408, A007395, A046092, A099776, A237593, A254858. %Y A144396 Essentially the same as A140139, A130773, A062545, A020735, A005818. %K A144396 nonn,easy,less %O A144396 1,1 %A A144396 _Paul Curtz_, Oct 03 2008 %E A144396 Edited by _R. J. Mathar_, May 21 2009