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 A037161 #14 Dec 20 2014 03:03:44 %S A037161 0,-1,1,-2,-1,1,2,-3,-1,1,3,-4,-3,-2,-1,1,2,3,4,-5,-1,1,5,-6,-5,-4,-3, %T A037161 -2,-1,1,2,3,4,5,6,-7,-5,-3,-1,1,3,5,7,-8,-7,-5,-4,-2,-1,1,2,4,5,7,8, %U A037161 -9,-7,-3,-1,1,3,7,9,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1 %N A037161 Well-order the rational numbers; take numerators. %D A037161 W. Sierpiński, Cardinal and Ordinal Numbers, Warsaw 1965, 2nd ed., p. 40. %H A037161 Reinhard Zumkeller, <a href="/A037161/b037161.txt">Table of n, a(n) for n = 0..10000</a> %t A037161 order[n_] := Join[-Reverse[ pos = Select[(r = Range[n])/Reverse[r], Numerator[#] + Denominator[#] == n + 1 & ] ], pos]; order[0] = 0; Numerator[ Flatten[ Table[ order[n], {n, 0, 10}]]] (* _Jean-François Alcover_, Jun 27 2012 *) %o A037161 (Haskell) %o A037161 import Data.List (transpose) %o A037161 import Data.Ratio ((%), numerator) %o A037161 a037161 n = a037161_list !! n %o A037161 a037161_list = 0 : map numerator %o A037161 (concat $ concat $ transpose [map (map negate) qss, map reverse qss]) %o A037161 where qss = map q [1..] %o A037161 q x = map (uncurry (%)) $ filter ((== 1) . uncurry gcd) $ %o A037161 zip (reverse zs) zs where zs = [1..x] %o A037161 -- _Reinhard Zumkeller_, Mar 08 2013 %Y A037161 Cf. A037162. %Y A037161 Cf. A020652. %K A037161 sign,easy,nice,frac %O A037161 0,4 %A A037161 _N. J. A. Sloane_