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A118457 Table of partitions of n into distinct parts, in Mathematica ordering. 8
1, 2, 3, 2, 1, 4, 3, 1, 5, 4, 1, 3, 2, 6, 5, 1, 4, 2, 3, 2, 1, 7, 6, 1, 5, 2, 4, 3, 4, 2, 1, 8, 7, 1, 6, 2, 5, 3, 5, 2, 1, 4, 3, 1, 9, 8, 1, 7, 2, 6, 3, 6, 2, 1, 5, 4, 5, 3, 1, 4, 3, 2, 10, 9, 1, 8, 2, 7, 3, 7, 2, 1, 6, 4, 6, 3, 1, 5, 4, 1, 5, 3, 2, 4, 3, 2, 1, 11, 10, 1, 9, 2, 8, 3, 8, 2, 1, 7, 4, 7, 3, 1, 6, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Reverse lexicographic order where the partitions are reprepresented as (weakly) decreasing lists of parts. [Joerg Arndt, Jan 25 2013]

LINKS

Alois P. Heinz, Rows n = 1..32, flattened

EXAMPLE

The partitions of 5 into distinct parts are [5], [4,1] and [3,2], so row 5 is 5,4,1,3,2.

1;

2;

3; 2,1;

4; 3,1;

5; 4,1; 3,2;

6; 5,1; 4,2; 3,2,1;

7; 6,1; 5,2; 4,3; 4,2,1;

8; 7,1; 6,2; 5,3; 5,2,1; 4,3,1;

9; 8,1; 7,2; 6,3; 6,2,1; 5,4; 5,3,1; 4,3,2;

10; 9,1; 8,2; 7,3; 7,2,1; 6,4; 6,3,1; 5,4,1; 5,3,2; 4,3,2,1;

11; 10,1; 9,2; 8,3; 8,2,1; 7,4; 7,3,1; 6,5; 6,4,1; 6,3,2; 5,4,2; 5,3,2,1;

MATHEMATICA

d[n_] := Select[IntegerPartitions[n], Max[Length /@ Split@ #] == 1 &]; Flatten[Table[d[n], {n, 15}]] (* Clark Kimberling, Mar 11 2012 *)

CROSSREFS

Cf. A026793, A118459 (partition lengths), A015723 (total row lengths), A080577, A000009, A246688.

Sequence in context: A280047 A106377 A214573 * A129773 A105789 A259579

Adjacent sequences:  A118454 A118455 A118456 * A118458 A118459 A118460

KEYWORD

nonn,look,tabf

AUTHOR

Franklin T. Adams-Watters, Apr 28 2006

STATUS

approved

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Last modified July 21 04:27 EDT 2017. Contains 289632 sequences.