id:A124759 - OEIS Search Results

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Sum of products of consecutive terms for compositions in standard order.

+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; listen)

	OFFSET	`0,6`
	COMMENT	`The standard order of compositions is given by A066099.`
	FORMULA	`For a composition b(1),...,b(k), a(n) = Sum_{i=1}^{k-1} b(i) b(i+1).`
	EXAMPLE	`Composition number 11 is 2,1,1; 21+11 = 3, so a(11) = 3.` `The table starts:` `0` `0` `0 1` `0 2 2 2`
	CROSSREFS	`Cf. A066099, A070939, A011782 (row lengths), A045618 (row sums).` `Sequence in context: A071441 A134577 A071442 this_sequence A071295 A103223 A091399` `Adjacent sequences: A124756 A124757 A124758 this_sequence A124760 A124761 A124762`
	KEYWORD	`easy,nonn,tabf`
	AUTHOR	`Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 06 2006`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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