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 A281554 #9 Jan 27 2017 05:27:08 %S A281554 0,0,0,0,0,3,0,19,5,16,0,155,0,97,17,6317,0,1901,0,8248,119,10487,0, %T A281554 471995,119,151971,152701 %N A281554 Number of nonassociative right conjugacy closed loops of order n up to isomorphism. %C A281554 For a groupoid Q and x in Q, define the right (left) translation map R_x: Q->Q by yR_x=yx (L_x: Q->Q by yL_x=xy). A loop is a groupoid Q with neutral element 1 in which all translations are bijections in Q. A loop Q is right conjugacy closed if (R_x)^(-1)R_yR_x is a right translation for every x, y in Q. Since any finite loop of order n < 5 is a group, then nonassociative right conjugacy closed loops exist when the order n > 5. In the literature, every nonassociative right conjugacy closed loop of order n can be represented as a union of certain conjugacy classes of a transitive group of degree n. The number of nonassociative right conjugacy closed loops of order n up to isomorphism were summarized in LOOPS version 3.3.0, Computing with quasigroups and loops in GAP (Groups, Algorithm and Programming). %H A281554 G. P. Nagy and P. Vojtechovsky, <a href="http://www.cs.du.edu/~petr/loops">Loops version 3.3.0</a>, Computing with quasigroups and loops in GAP, 2016. %e A281554 a(6)=3 because there are 3 nonassociative right conjugacy closed loops of order 6 and a(8)=19 because there are 19 nonassociative right conjugacy closed loops of order 8. %Y A281554 Cf. A090750, A281319, A281462. %K A281554 nonn,more %O A281554 1,6 %A A281554 _Muniru A Asiru_, Jan 24 2017