id:A124766 - OEIS Search Results

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Number of monotonically increasing runs for compositions in standard order.

+0
2

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; listen)

	OFFSET	`0,6`
	COMMENT	`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: A056832 A105931 A126864 this_sequence A103765 A125029 A062893` `Adjacent sequences: A124763 A124764 A124765 this_sequence 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 August 19 23:53 EDT 2008. Contains 142930 sequences.

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