A099445 - OEIS

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A099445

An Alexander sequence for the Miller Institute knot.

1, 3, 6, 12, 25, 54, 117, 252, 542, 1167, 2514, 5415, 11662, 25116, 54093, 116502, 250913, 540396, 1163862, 2506635, 5398594, 11627067, 25041462, 53932332, 116155217, 250165974, 538787805, 1160398812, 2499175726, 5382528183 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`The denominator is a parameterisation of the Alexander polynomial for the knot 6_2 (Miller Institute knot). The g.f. is the image of that of Fib(2n+2) 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/(1-3x+3x^2-3x^3+x^4); a(n)=A099444(n)-A099444(n-2).`
	CROSSREFS	`Cf. A001906.` `Sequence in context: A136444 A077854 A187260 * A004067 A092886 A207094` `Adjacent sequences: A099442 A099443 A099444 * A099446 A099447 A099448`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 16 2004`

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Last modified February 16 09:00 EST 2012. Contains 205904 sequences.