id:A089266 - OEIS Search Results

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Rational knots of determinant 2n+1, counting chiral pairs twice.

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2, 3, 4, 4, 6, 7, 6, 9, 10, 8, 12, 11, 10, 15, 16, 12, 14, 19, 14, 21, 22, 14, 24, 22, 18, 27, 22, 20, 30, 31, 20, 26, 34, 24, 36, 37, 22, 32, 40, 28, 42, 34, 30, 45, 38, 32, 38, 49, 32, 51, 52, 28, 54, 55, 38, 57, 46, 38, 50, 56, 42, 51, 64, 44, 66, 56 (list; graph; listen)

	OFFSET	`1,1`
	LINKS	`A. Stoimenow, Square numbers, spanning trees, and invariants of rational knots`
	FORMULA	`a(n) = 1/2 * (A037225(n) + A034444(2*n+1))`
	PROGRAM	`(PARI) a(n)= (1/2) (eulerphi(2n+1)+2^omega(2*n+1))`
	CROSSREFS	`Cf. A078477, A078478, A018240, A051449, A051766.` `Sequence in context: A072455 A066981 A130043 this_sequence A039696 A076332 A081235` `Adjacent sequences: A089263 A089264 A089265 this_sequence A089267 A089268 A089269`
	KEYWORD	`nonn,easy,nice`
	AUTHOR	`Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 30 2003`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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