id:A124761 - OEIS Search Results

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Number of falls for compositions in standard order.

+0
6

0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0 (list; graph; listen)

	OFFSET	`0,38`
	COMMENT	`The standard order of compositions is given by A066099.`
	FORMULA	`For a composition b(1),...,b(k), a(n) = Sum_{1<=i=1<k, b(i)>b(i+1)} 1.`
	EXAMPLE	`Composition number 11 is 2,1,1; 2>1<=1, so a(11) = 1.` `The table starts:` `0` `0` `0 0` `0 1 0 0`
	CROSSREFS	`Cf. A066099, A124760, A124762, A124763, A124764, A011782 (row lengths), A045883 (row sums), A124766.` `Sequence in context: A144451 A090464 A044934 this_sequence A156709 A081400 A131963` `Adjacent sequences: A124758 A124759 A124760 this_sequence A124762 A124763 A124764`
	KEYWORD	`easy,nonn,tabf`
	AUTHOR	`Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 06 2006`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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