id:A151566 - OEIS Search Results

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Leftist toothpicks (see Comments for definition).

+0
8

0, 1, 2, 4, 6, 8, 10, 14, 18, 20, 22, 26, 30, 34, 38, 46, 54, 56, 58, 62, 66, 70, 74, 82, 90, 94, 98, 106, 114, 122, 130, 146, 162, 164, 166, 170, 174, 178, 182, 190, 198, 202, 206, 214, 222, 230, 238, 254, 270, 274, 278, 286, 294, 302, 310, 326, 342, 350, 358, 374, 390, 406 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Similar to A139250, except that when we add toothpicks to horizontal toothpicks, we only add them at the left-hand end.` `Sequence gives total number of toothpicks in the n-th generation. First differences are in A151565.` `This is equivalent to the Sierpinski triangle A047999. Each inverted T formed by two toothpicks is equivalent to a triangle in the Sierpinski sieve. See Gould's sequence A001316. [From Omar E. Pol (info(AT)polprimos.com), May 23 2009]`
	FORMULA	`a(2n) = 2A006046(n), a(2n+1) = a(2n) + A001316(n) = 2A006046(n) + A001316(n).`
	CROSSREFS	`Sequence in context: A022292 A087370 A138929 this_sequence A160406 A113293 A080431` `Adjacent sequences: A151563 A151564 A151565 this_sequence A151567 A151568 A151569`
	KEYWORD	`nonn,easy`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), May 23 2009`

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.

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