id:A051449 - OEIS Search Results

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Fibered rational knots with n crossings.

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2

1, 1, 1, 2, 3, 4, 7, 10, 16, 25, 40, 62, 101, 159, 257, 410, 663, 1062, 1719, 2764, 4472, 7209, 11664, 18828, 30465, 49221, 79641, 128746, 208315, 336872, 545071, 881638, 1426520, 2307665, 3733880, 6040746, 9774133, 15813587, 25586921, 41398418 (list; graph; listen)

	OFFSET	`3,4`
	FORMULA	`x^2/2*((-x-x^2)/(x^4+2x^3+x^2-1)+(-x-x^2)/(x^4+x^2-1))`
	EXAMPLE	`a(7)=3 because there are 3 fibered rational knots with 7 crossings: 7_1, 7_6 and 7_7 (in Alexander-Briggs notation)`
	CROSSREFS	`Sequence in context: A159288 A033320 A013982 this_sequence A018143 A136570 A119016` `Adjacent sequences: A051446 A051447 A051448 this_sequence A051450 A051451 A051452`
	KEYWORD	`easy,nonn,nice`
	AUTHOR	`Alexander Stoimenow (stoimeno(AT)math.toronto.edu)`
	EXTENSIONS	`More terms from James A. Sellers (sellersj(AT)math.psu.edu)`

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.

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