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A296774 Triangle read by rows in which row n lists the compositions of n ordered first by length and then reverse-lexicographically. 13
1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 1, 1, 4, 3, 1, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 5, 4, 1, 3, 2, 2, 3, 1, 4, 3, 1, 1, 2, 2, 1, 2, 1, 2, 1, 3, 1, 1, 2, 2, 1, 1, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 6, 5, 1, 4, 2, 3, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

EXAMPLE

Triangle of compositions begins:

(1),

(2),(11),

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

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

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

MATHEMATICA

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

CROSSREFS

Cf. A066099, A101211, A108730, A124734, A228369, A281013, A294859, A296302, A296656, A296772, A296773.

Sequence in context: A263633 A171850 A087782 * A066099 A254111 A234246

Adjacent sequences:  A296771 A296772 A296773 * A296775 A296776 A296777

KEYWORD

nonn,tabf

AUTHOR

Gus Wiseman, Dec 20 2017

STATUS

approved

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Last modified September 23 01:32 EDT 2020. Contains 337291 sequences. (Running on oeis4.)