A124766 - OEIS

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A124766

Number of monotonically increasing runs for compositions in standard order.

0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,6`
	COMMENTS	`The standard order of compositions is given by A066099.`
	FORMULA	`a(0) = 0, a(n) = A124761(n) + 1 for n > 0.`
	EXAMPLE	`Composition number 11 is 2,1,1; the increasing runs are 2; 1,1; so a(11) = 2.` `The table starts:` `0` `1` `1 1` `1 1 2 1`
	CROSSREFS	`Cf. A066099, A124761, A011782 (row lengths).` `Sequence in context: A105931 A173751 A126864 * A103765 A125029 A062893` `Adjacent sequences: A124763 A124764 A124765 * A124767 A124768 A124769`
	KEYWORD	`easy,nonn,tabf`
	AUTHOR	`Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 06 2006`

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Last modified February 16 11:42 EST 2012. Contains 205907 sequences.