cp's OEIS Frontend

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.

A211983 A list of ordered partitions of the positive integers in which the shells of each integer are assembled by their tails.

This page as a plain text file.
%I A211983 #16 Jul 18 2022 22:48:21
%S A211983 1,2,1,1,2,1,1,1,1,3,4,2,2,2,1,1,1,1,1,1,3,1,4,1,2,2,1,2,1,1,1,1,1,1,
%T A211983 1,1,3,1,1,3,2,5,6,3,3,4,2,2,2,2,4,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,
%U A211983 3,1,1,1,3,2,1,5,1,6,1,3,3,1,4,2,1,2,2,2,1,4,1,1,1,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,2,1,1,5,1,1,3,2,2,5,2,4,3,7
%N A211983 A list of ordered partitions of the positive integers in which the shells of each integer are assembled by their tails.
%C A211983 The order of the partitions of the odd integers is the same as A211999. The order of the partitions of the even integers is the same as A211989.
%e A211983 A table of partitions.
%e A211983 --------------------------------------------
%e A211983 .              Expanded       Geometric
%e A211983 Partitions     arrangement    model
%e A211983 --------------------------------------------
%e A211983 1;             1;             |*|
%e A211983 --------------------------------------------
%e A211983 2;             . 2;           |* *|
%e A211983 1,1;           1,1;           |o|*|
%e A211983 --------------------------------------------
%e A211983 2,1;           . 2,1;         |o o|*|
%e A211983 1,1,1;         1,1,1;         |o|o|*|
%e A211983 3;             . . 3;         |* * *|
%e A211983 --------------------------------------------
%e A211983 4;             . . . 4;       |* * * *|
%e A211983 2,2;           . 2,. 2;       |* *|* *|
%e A211983 2,1,1;         . 2,1,1;       |o o|o|*|
%e A211983 1,1,1,1;       1,1,1,1;       |o|o|o|*|
%e A211983 3,1;           . . 3,1;       |o o o|*|
%e A211983 --------------------------------------------
%e A211983 4,1;           . . . 4,1;     |o o o o|*|
%e A211983 2,2,1;         . 2,. 2,1;     |o o|o o|*|
%e A211983 2,1,1,1;       . 2,1,1,1;     |o o|o|o|*|
%e A211983 1,1,1,1,1;     1,1,1,1,1;     |o|o|o|o|*|
%e A211983 3,1,1;         . . 3,1,1;     |o o o|o|*|
%e A211983 3,2;           . . 3,. 2;     |* * *|* *|
%e A211983 5;             . . . . 5;     |* * * * *|
%e A211983 --------------------------------------------
%e A211983 6;             . . . . . 6;   |* * * * * *|
%e A211983 3,3;           . . 3,. . 3;   |* * *|* * *|
%e A211983 4,2;           . . . 4,. 2;   |* * * *|* *|
%e A211983 2,2,2;         . 2,. 2,. 2;   |* *|* *|* *|
%e A211983 4,1,1;         . . . 4,1,1;   |o o o o|o|*|
%e A211983 2,2,1,1;       . 2,. 2,1,1;   |o o|o o|o|*|
%e A211983 2,1,1,1,1;     . 2,1,1,1,1;   |o o|o|o|o|*|
%e A211983 1,1,1,1,1,1;   1,1,1,1,1,1;   |o|o|o|o|o|*|
%e A211983 3,1,1,1;       . . 3,1,1,1;   |o o o|o|o|*|
%e A211983 3,2,1;         . . 3,. 2,1;   |o o o|o o|*|
%e A211983 5,1;           . . . . 5,1;   |o o o o o|*|
%e A211983 --------------------------------------------
%e A211983 Note that * is a unitary element of every part of the last section of j.
%Y A211983 Rows sums give A036042, n>=1.
%Y A211983 Other versions are A211984, A211989, A211999. See also A026792, A211992-A211994. Spiral arrangements are A211985-A211988, A211995-A211998.
%Y A211983 Cf. A000041, A026905, A135010, A138121, A138137, A138879, A182703, A206437.
%K A211983 nonn,tabf
%O A211983 1,2
%A A211983 _Omar E. Pol_, Aug 19 2012