A124768 - OEIS

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A124768

Number of strictly increasing runs for compositions in standard order.

0, 1, 1, 2, 1, 2, 1, 3, 1, 2, 2, 3, 1, 2, 2, 4, 1, 2, 2, 3, 1, 3, 2, 4, 1, 2, 2, 3, 2, 3, 3, 5, 1, 2, 2, 3, 2, 3, 2, 4, 1, 2, 3, 4, 2, 3, 3, 5, 1, 2, 2, 3, 1, 3, 2, 4, 2, 3, 3, 4, 3, 4, 4, 6, 1, 2, 2, 3, 2, 3, 2, 4, 1, 3, 3, 4, 2, 3, 3, 5, 1, 2, 2, 3, 2, 4, 3, 5, 2, 3, 3, 4, 3, 4, 4, 6, 1, 2, 2, 3, 2, 3, 2, 4, 1 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	COMMENTS	`The standard order of compositions is given by A066099.`
	FORMULA	`a(0) = 0, a(n) = A124763(n) + 1 for n > 0.`
	EXAMPLE	`Composition number 11 is 2,1,1; the strictly increasing runs are 2; 1; 1; so a(11) = 3.` `The table starts:` `0` `1` `1 2` `1 2 1 3`
	CROSSREFS	`Cf. A066099, A124763, A011782 (row lengths).` `Sequence in context: A072347 A136107 A178691 * A072527 A081373 A029436` `Adjacent sequences: A124765 A124766 A124767 * A124769 A124770 A124771`
	KEYWORD	`easy,nonn,tabf`
	AUTHOR	`Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 06 2006`

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Last modified February 13 14:23 EST 2012. Contains 205504 sequences.