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A124759
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Sum of products of consecutive terms for compositions in standard order.
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0
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0, 0, 0, 1, 0, 2, 2, 2, 0, 3, 4, 3, 3, 4, 3, 3, 0, 4, 6, 4, 6, 6, 4, 4, 4, 6, 6, 5, 4, 5, 4, 4, 0, 5, 8, 5, 9, 8, 5, 5, 8, 9, 8, 7, 5, 6, 5, 5, 5, 8, 9, 7, 8, 8, 6, 6, 5, 7, 7, 6, 5, 6, 5, 5, 0, 6, 10, 6, 12, 10, 6, 6, 12, 12, 10, 9, 6, 7, 6, 6, 10, 12, 12, 10, 10, 10, 8, 8, 6, 8, 8, 7, 6, 7, 6, 6, 6, 10
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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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_{i=1}^{k-1} b(i) b(i+1).
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EXAMPLE
| Composition number 11 is 2,1,1; 2*1+1*1 = 3, so a(11) = 3.
The table starts:
0
0
0 1
0 2 2 2
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CROSSREFS
| Cf. A066099, A070939, A011782 (row lengths), A045618 (row sums).
Sequence in context: A071441 A134577 A071442 * A071295 A117652 A103223
Adjacent sequences: A124756 A124757 A124758 * A124760 A124761 A124762
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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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