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Search: id:A124734
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| A124734 |
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Table with all compositions sorted first by total, then by length, and finally lexicographically. |
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+0
4
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| 1, 2, 1, 1, 3, 1, 2, 2, 1, 1, 1, 1, 4, 1, 3, 2, 2, 3, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 5, 1, 4, 2, 3, 3, 2, 4, 1, 1, 1, 3, 1, 2, 2, 1, 3, 1, 2, 1, 2, 2, 2, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 5, 2, 4, 3, 3, 4, 2, 5, 1, 1, 1, 4, 1, 2, 3, 1, 3, 2, 1, 4, 1, 2, 1
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This is similar to the Abramowitz and Stegun ordering for partitions (see A036036). The standard ordering for compositions is A066099, which is more similar to the Mathematica partition ordering (A080577).
This can be regarded as a table in two ways: with each composition as a row, or with the compositions of each integer as a row. The first way has A124736 as row lengths and A070939 as row sums; the second has A001792 as row lengths, and A001788 as row sums.
This sequence includes every finite sequence of positive integers.
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].
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EXAMPLE
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The table starts:
1
2; 1 1
3; 1 2; 2 1; 1 1 1
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CROSSREFS
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Cf. A066099, A124736, A070939, A001792, A001788, A124735, A036036, A080577.
Adjacent sequences: A124731 A124732 A124733 this_sequence A124735 A124736 A124737
Sequence in context: A050873 A128221 A115758 this_sequence A037034 A139462 A131376
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KEYWORD
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easy,nonn,tabf
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AUTHOR
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Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 06 2006
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