id:A124767 - OEIS Search Results

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Number of level runs for compositions in standard order.

+0
2

0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 2, 2, 1, 3, 3, 2, 2, 3, 1, 2, 3, 4, 3, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 4, 3, 4, 3, 4, 3, 2, 2, 3, 3, 3, 2, 4, 4, 3, 3 (list; graph; listen)

	OFFSET	`0,6`
	COMMENT	`The standard order of compositions is given by A066099.`
	FORMULA	`a(0) = 0, a(n) = 1 + Sum_{1<=i=1<k, b(i)!=b(i+1)} 1 for n > 0.`
	EXAMPLE	`Composition number 11 is 2,1,1; the level runs are 2; 1,1; so a(11) = 2.` `The table starts:` `0` `1` `1 1` `1 2 2 1`
	CROSSREFS	`Cf. A066099, A124762, A011782 (row lengths).` `Sequence in context: A000002 A074295 A116514 this_sequence A112933 A088427 A104482` `Adjacent sequences: A124764 A124765 A124766 this_sequence A124768 A124769 A124770`
	KEYWORD	`easy,nonn,tabf`
	AUTHOR	`Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 06 2006`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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