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 A118457 Table of partitions of n into distinct parts, in Mathematica ordering. 11
 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 *) PROG (SageMath) def StrictPartitions(n): return [partition for partition in Partitions(n) if Set(partition.to_exp()).issubset(Set([0, 1]))] def A118457row(n): return [p for parts in StrictPartitions(n) for p in parts] for n in (1..9): print(A118457row(n)) # Peter Luschny, Apr 11 2020 CROSSREFS Cf. A026793, A118459 (partition lengths), A015723 (total row lengths), A080577, A000009, A246688. Sequence in context: A280047 A106377 A214573 * A319247 A129773 A105789 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 January 19 06:28 EST 2021. Contains 340266 sequences. (Running on oeis4.)