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A296773 Triangle read by rows in which row n lists the compositions of n ordered first by decreasing length and then lexicographically. 5
1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 3, 2, 2, 3, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 2, 1, 3, 1, 2, 1, 2, 2, 2, 1, 3, 1, 1, 1, 4, 2, 3, 3, 2, 4, 1, 5, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..87.

EXAMPLE

Triangle of compositions begins:

(1),

(11),(2),

(111),(12),(21),(3),

(1111),(112),(121),(211),(13),(22),(31),(4),

(11111),(1112),(1121),(1211),(2111),(113),(122),(131),(212),(221),(311),(14),(23),(32),(41),(5).

MATHEMATICA

Table[Sort[Join@@Permutations/@IntegerPartitions[n], Or[Length[#1]>Length[#2], Length[#1]===Length[#2]&&OrderedQ[{#1, #2}]]&], {n, 6}]

CROSSREFS

Cf. A066099, A101211, A108730, A124734, A228369, A281013, A294859, A296302, A296656, A296772, A296774.

Sequence in context: A002635 A275806 A228369 * A108244 A277824 A265120

Adjacent sequences:  A296770 A296771 A296772 * A296774 A296775 A296776

KEYWORD

nonn,tabf

AUTHOR

Gus Wiseman, Dec 20 2017

STATUS

approved

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Last modified September 18 14:45 EDT 2020. Contains 337169 sequences. (Running on oeis4.)