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Search: id:A108244
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| A108244 |
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Triangle read by rows: row n gives list of all compositions of n in lexicographical order. |
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+0
3
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| 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, 2, 1, 2, 1, 3, 1, 2, 2, 1, 3, 1, 1, 1, 4, 2, 3, 3, 2, 4, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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An example of a sequence which contains all finite sequences of nonnegative integers as subsequences.
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LINKS
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Eric Weisstein's World of Mathematics, Combinatorial composition
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EXAMPLE
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The first 5 rows are:
{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}, {2, 1, 2}, {1, 3, 1}, {2, 2, 1}, {3, 1, 1}, {1, 4}, {2, 3}, {3, 2}, {4, 1}, {5}
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MATHEMATICA
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Flatten[ Table[ Reverse[ # ] & /@ Reverse[ Sort[ Flatten[ Permutations[ # ] & /@ Partitions[ n], 1]]], {n, 6}]] (from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 22 2005)
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CROSSREFS
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Cf. A045623.
Sequence in context: A033182 A053797 A002635 this_sequence A124961 A008967 A094189
Adjacent sequences: A108241 A108242 A108243 this_sequence A108245 A108246 A108247
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KEYWORD
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nonn,tabf
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AUTHOR
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Hugo van der Sanden (hv(AT)crypt.org), Jun 20, 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 22 2005
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