id:A124764 - OEIS Search Results

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Number of non-falls (levels or rises) for compositions in standard order.

+0
6

0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 3, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 3, 4, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4, 5, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 2, 3, 1, 1, 2, 2, 2, 2, 3, 4, 1, 1, 1, 2, 2, 1, 2, 3, 2 (list; graph; listen)

	OFFSET	`0,8`
	COMMENT	`The standard order of compositions is given by A066099.`
	FORMULA	`a(n) = A124760(n) + A124762(n)` `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 1` `0 0 1 2`
	CROSSREFS	`Cf. A066099, A124760, A124761, A124762, A124763, A011782 (row lengths), A045883 (row sums), A124769.` `Sequence in context: A037844 A037880 A140698 this_sequence A151899 A079632 A002654` `Adjacent sequences: A124761 A124762 A124763 this_sequence A124765 A124766 A124767`
	KEYWORD	`easy,nonn,tabf`
	AUTHOR	`Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 06 2006`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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