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 A211993 #17 Jul 18 2022 22:47:29 %S A211993 1,2,1,1,1,1,1,2,1,3,4,2,2,3,1,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,3,1,1, %T A211993 2,2,1,4,1,3,2,5,6,3,3,4,2,2,2,2,5,1,3,2,1,4,1,1,2,2,1,1,3,1,1,1,2,1, %U A211993 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,3,1,1,1,1,2,2,1,1,1,4,1,1,1,3,2,1,1,5,1,1,2,2,2,1,4,2,1,3,3,1,6,1,3,2,2,5,2,4,3,7 %N A211993 A list of ordered partitions of the positive integers. %C A211993 The order of the partitions of the odd integers is the same as A211992. The order of the partitions of the even integers is the same as A026792. %e A211993 A table of partitions. %e A211993 -------------------------------------------- %e A211993 . Expanded Geometric %e A211993 Partitions arrangement model %e A211993 -------------------------------------------- %e A211993 1; 1; |*| %e A211993 -------------------------------------------- %e A211993 2; . 2; |* *| %e A211993 1,1; 1,1; |o|*| %e A211993 -------------------------------------------- %e A211993 1,1,1; 1,1,1; |o|o|*| %e A211993 2,1; . 2,1; |o o|*| %e A211993 3; . . 3; |* * *| %e A211993 -------------------------------------------- %e A211993 4,; . . . 4; |* * * *| %e A211993 2,2; . 2,. 2; |* *|* *| %e A211993 3,1; . . 3,1; |o o o|*| %e A211993 2,1,1,; . 2,1,1; |o o|o|*| %e A211993 1,1,1,1; 1,1,1,1; |o|o|o|*| %e A211993 -------------------------------------------- %e A211993 1,1,1,1,1; 1,1,1,1,1; |o|o|o|o|*| %e A211993 2,1,1,1; . 2,1,1,1; |o o|o|o|*| %e A211993 3,1,1; . . 3,1,1; |o o o|o|*| %e A211993 2,2,1; . 2,. 2,1; |o o|o o|*| %e A211993 4,1; . . . 4,1; |o o o o|*| %e A211993 3,2; . . 3,. 2; |* * *|* *| %e A211993 5; . . . . 5; |* * * * *| %e A211993 -------------------------------------------- %e A211993 6; . . . . . 6; |* * * * * *| %e A211993 3,3; . . 3,. . 3; |* * *|* * *| %e A211993 4,2; . . . 4,. 2; |* * * *|* *| %e A211993 2,2,2; . 2,. 2,. 2; |* *|* *|* *| %e A211993 5,1; . . . . 5,1; |o o o o o|*| %e A211993 3,2,1; . . 3,. 2,1; |o o o|o o|*| %e A211993 4,1,1; . . . 4,1,1; |o o o o|o|*| %e A211993 2,2,1,1; . 2,. 2,1,1; |o o|o o|o|*| %e A211993 3,1,1,1; . . 3,1,1,1; |o o o|o|o|*| %e A211993 2,1,1,1,1; . 2,1,1,1,1; |o o|o|o|o|*| %e A211993 1,1,1,1,1,1; 1,1,1,1,1,1; |o|o|o|o|o|*| %e A211993 -------------------------------------------- %e A211993 Note that * is a unitary element of every part of the last section of j. %Y A211993 Rows sums give A036042, n>=1. %Y A211993 Other versions are A026792, A211992, A211994. See also A211983, A211984, A211989, A211999. Spiral arrangements are A211985-A211988, A211995-A211998. %Y A211993 Cf. A000041, A026905, A135010, A138121, A138137, A138879, A182703, A206437. %K A211993 nonn,tabf %O A211993 1,2 %A A211993 _Omar E. Pol_, Aug 18 2012