A124769 - OEIS

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A124769

Number of strictly decreasing runs for compositions in standard order.

0, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 2, 2, 2, 3, 4, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4, 5, 1, 1, 1, 2, 2, 1, 2, 3, 2, 2, 3, 3, 2, 2, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 6, 1, 1, 1, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 4, 5, 2, 2, 2, 3, 3, 2, 3, 4, 3 (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) = A124764(n) + 1 for n > 0.`
	EXAMPLE	`Composition number 11 is 2,1,1; the strictly increasing runs are 2,1; 1; so a(11) = 2.` `The table starts:` `0` `1` `1 2` `1 1 2 3`
	CROSSREFS	`Cf. A066099, A124764, A011782 (row lengths).` `Sequence in context: A082850 A088198 A088426 * A128227 A176484 A144328` `Adjacent sequences: A124766 A124767 A124768 * A124770 A124771 A124772`
	KEYWORD	`easy,nonn,tabf`
	AUTHOR	`Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 06 2006`

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Last modified February 15 21:05 EST 2012. Contains 205855 sequences.