id:A099452 - OEIS Search Results

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An Alexander sequence for the knot 7_7.

+0
3

1, 5, 16, 40, 79, 110, 23, -520, -2336, -6995, -16574, -31075, -38848, 9560, 258631, 1043950, 2978719, 6781640, 12060848, 13119125, -12022526, -124662155, -461573264, -1259138680, -2752822273, -4615067410, -4134056729, 8360350360, 58685747584, 202130368445, 528415922498 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`The denominator is a parameterisation of the Alexander polynomial for the knot 7_7. The g.f. is the image of the g.f. of A099450 under the modified Chebyshev transform A(x)->(1/(1+x^2)^2)A(x/(1+x^2)).`
	LINKS	`Dror Bar-Natan, The Rolfsen Knot Table`
	FORMULA	`G.f.: 1/(1-5x+9x^2-5x^3+x^4); a(n)=A099451(n)-A099451(n-2).`
	CROSSREFS	`Sequence in context: A155965 A011863 A027085 this_sequence A006007 A001753 A073459` `Adjacent sequences: A099449 A099450 A099451 this_sequence A099453 A099454 A099455`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 16 2004`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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