id:A099846 - OEIS Search Results

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An Alexander sequence for the knot 8_5.

+0
2

1, 3, 5, 8, 15, 29, 55, 104, 196, 368, 692, 1304, 2457, 4627, 8713, 16408, 30899, 58189, 109583, 206368, 388632, 731872, 1378264, 2595552, 4887953, 9205011, 17334909, 32645160, 61477479, 115774605, 218027143, 410589480, 773223548, 1456137296 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`The g.f. is a transformation of the g.f. 1/((1-x)(1-2x-x^2)) of A048739 under the mapping G(x)->(1/(1+x^2)^3)G(x/(1+x^2)). The denominator of the g.f. is a parameterisation of the Alexander polynomial of the knot 8_5. Relates 8_5 to the Pell numbers.`
	FORMULA	`G.f.: 1/(1-3x+4x^2-5x^3+4x^4-3x^5+x^6).`
	CROSSREFS	`Cf. A099854.` `Adjacent sequences: A099843 A099844 A099845 this_sequence A099847 A099848 A099849` `Sequence in context: A077579 A076797 A052977 this_sequence A141775 A056765 A080006`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 27 2004`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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