id:A124757 - OEIS Search Results

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Zero-based weighted sum of compositions in standard order.

+0
2

0, 0, 0, 1, 0, 1, 2, 3, 0, 1, 2, 3, 3, 4, 5, 6, 0, 1, 2, 3, 3, 4, 5, 6, 4, 5, 6, 7, 7, 8, 9, 10, 0, 1, 2, 3, 3, 4, 5, 6, 4, 5, 6, 7, 7, 8, 9, 10, 5, 6, 7, 8, 8, 9, 10, 11, 9, 10, 11, 12, 12, 13, 14, 15, 0, 1, 2, 3, 3, 4, 5, 6, 4, 5, 6, 7, 7, 8, 9, 10, 5, 6, 7, 8, 8, 9, 10, 11, 9, 10, 11, 12, 12, 13, 14 (list; graph; listen)

	OFFSET	`0,7`
	COMMENT	`The standard order of compositions is given by A066099.`
	FORMULA	`For a composition b(1),...,b(k), a(n) = Sum_{i=1}^k (i-1) b(i).` `For n>0, a(n) = A029931(n) - A070939(n).`
	EXAMPLE	`Composition number 11 is 2,1,1; 02+11+2*1 = 3, so a(11) = 3.` `The table starts:` `0` `0` `0 1` `0 1 2 3`
	CROSSREFS	`Cf. A066099, A070939, A029931, A011782 (row lengths), A001788 (row sums).` `Sequence in context: A010873 A049804 A132387 this_sequence A049263 A014588 A053645` `Adjacent sequences: A124754 A124755 A124756 this_sequence A124758 A124759 A124760`
	KEYWORD	`easy,nonn,tabf`
	AUTHOR	`Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 06 2006`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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