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 A255253 #11 Feb 25 2015 10:10:51 %S A255253 0,1,2,3,4,31,40,5,6,42,51,60,312,330,411,420,501,600,7,8,53,62,71, %T A255253 3122,3302,4013,4112,4130,4202,4400,5111,5120,5201,5300,6011,6020, %U A255253 7001,8000,9,423,441,450,522,531,603,612,630 %N A255253 Complete list of siteswaps (indecomposable ground-state in concatenated decimal notation organized first by sum of digits and then by magnitude). %C A255253 Siteswaping is worthy of exploration in the elementary school classroom. In my experience (Gordon Hamilton) students across a full spectrum of ability find the subject matter intriguing and the mathematics engaging. %C A255253 By "indecomposable" we mean that the juggling state sequence associated to each loop should not return to the ground state 7 (xxx) until after the last throw. %C A255253 By "ground state" we mean that the permutation is chosen that is as large as possible. Example: 3302 is the same as 3023 and 0233 and 2330. Only the 3302 is in the list because it is the largest number. %C A255253 The list breaks down at term 57, which requires a digit for "10." In the classroom this can be solved by writing "10" vertically or using commas. %e A255253 There are 13 siteswap sequences that have a digit-sum of 9. In order, these are 9, 423, 441, 450, 522, 531, 603, 612, 630, 711, 720, 801, 900. %Y A255253 Cf. A065178, A084509, A065180. %K A255253 hear,nonn,fini,full %O A255253 1,3 %A A255253 _Gordon Hamilton_, Feb 18 2015