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A124764
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Number of non-falls (levels or rises) for compositions in standard order.
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5
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0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 3, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 3, 4, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4, 5, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 2, 3, 1, 1, 2, 2, 2, 2, 3, 4, 1, 1, 1, 2, 2, 1, 2, 3, 2
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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COMMENTS
| The standard order of compositions is given by A066099.
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FORMULA
| a(n) = A124760(n) + A124762(n)
For a composition b(1),...,b(k), a(n) = Sum_{1<=i=1<k, b(i)>=b(i+1)} 1.
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EXAMPLE
| Composition number 11 is 2,1,1; 2<1>=1, so a(11) = 1.
The table starts:
0
0
0 1
0 0 1 2
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CROSSREFS
| Cf. A066099, A124760, A124761, A124762, A124763, A011782 (row lengths), A045883 (row sums), A124769.
Sequence in context: A037844 A037880 A140698 * A151899 A204263 A079632
Adjacent sequences: A124761 A124762 A124763 * A124765 A124766 A124767
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KEYWORD
| easy,nonn,tabf
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AUTHOR
| Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 06 2006
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