id:A043547 - OEIS Search Results

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Odd numbers in sequence interspersed with double the previous odd number.

+0
3

1, 2, 3, 6, 5, 10, 7, 14, 9, 18, 11, 22, 13, 26, 15, 30, 17, 34, 19, 38, 21, 42, 23, 46, 25, 50, 27, 54, 29, 58, 31, 62, 33, 66, 35, 70, 37, 74, 39, 78, 41, 82, 43, 86, 45, 90, 47, 94, 49, 98, 51, 102, 53, 106, 55, 110, 57, 114, 59, 118, 61, 122, 63, 126, 65, 130, 67, 134 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(n) = (2 - n) * (n - [n / 2] * 2) + 2 * (n - 1)` `G.f. x(1+2x)(1+x^2)/(1-x^2)^2. - Ralf Stephan, Jun 10 2003`
	EXAMPLE	`E.g. a(1)=1 because n is odd. a(2)=2 because a(1)*2=2`
	CROSSREFS	`For n>3, a(n) = A059029(n-3)+3. For n>1, a(n) = A022998(n-2)+2.` `Sequence in context: A119790 A080029 A091239 this_sequence A064919 A064923 A064924` `Adjacent sequences: A043544 A043545 A043546 this_sequence A043548 A043549 A043550`
	KEYWORD	`easy,nonn`
	AUTHOR	`Jim Cook (jcook(AT)halcyon.com), Mar 01 2000`
	EXTENSIONS	`More terms from James A. Sellers (sellersj(AT)math.psu.edu), Mar 01 2000`

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.

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