id:A124768 - OEIS Search Results

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Number of strictly increasing runs for compositions in standard order.

+0
2

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; listen)

	OFFSET	`0,4`
	COMMENT	`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: A066075 A072347 A136107 this_sequence A072527 A081373 A029436` `Adjacent sequences: A124765 A124766 A124767 this_sequence 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 December 4 08:07 EST 2009. Contains 170310 sequences.

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