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A026793 Juxtaposed partitions of 1,2,3,... into distinct parts, ordered by number of terms and then lexicographically. 5
1, 2, 3, 1, 2, 4, 1, 3, 5, 1, 4, 2, 3, 6, 1, 5, 2, 4, 1, 2, 3, 7, 1, 6, 2, 5, 3, 4, 1, 2, 4, 8, 1, 7, 2, 6, 3, 5, 1, 2, 5, 1, 3, 4, 9, 1, 8, 2, 7, 3, 6, 4, 5, 1, 2, 6, 1, 3, 5, 2, 3, 4, 10, 1, 9, 2, 8, 3, 7, 4, 6, 1, 2, 7, 1, 3, 6, 1, 4, 5, 2, 3, 5, 1, 2, 3, 4, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6, 1, 2, 8, 1, 3, 7, 1, 4, 6, 2, 3, 6, 2, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This is the Abramowitz and Stegun ordering. - Franklin T. Adams-Watters, Apr 28 2006

LINKS

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

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

EXAMPLE

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

Triangle begins:

[1];

[2];

[3], [1,2];

[4], [1,3];

[5], [1,4], [2,3];

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

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

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

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

CROSSREFS

Cf. A118457, A118458 (partition lengths), A015723 (total row lengths), A036036, A000009, A246688.

Sequence in context: A097293 A296656 A303945 * A239304 A072193 A233359

Adjacent sequences:  A026790 A026791 A026792 * A026794 A026795 A026796

KEYWORD

nonn,tabf

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified June 19 07:33 EDT 2019. Contains 324218 sequences. (Running on oeis4.)