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A124761
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Number of falls for compositions in standard order.
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5
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0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,38
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COMMENTS
| The standard order of compositions is given by A066099.
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FORMULA
| 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 0
0 1 0 0
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CROSSREFS
| Cf. A066099, A124760, A124762, A124763, A124764, A011782 (row lengths), A045883 (row sums), A124766.
Sequence in context: A196049 A194821 A044934 * A156709 A081400 A131963
Adjacent sequences: A124758 A124759 A124760 * A124762 A124763 A124764
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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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