id:A099450 - OEIS Search Results

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Expansion of 1/(1-5x+7x^2).

+0
3

1, 5, 18, 55, 149, 360, 757, 1265, 1026, -3725, -25807, -102960, -334151, -950035, -2411118, -5405345, -10148899, -12907080, 6506893, 122884025, 568871874, 1984171195, 5938752857, 15804565920, 37451559601, 76625836565, 120968265618, 68460472135, -504475498651 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Associated to the knot 7_7 by the modified Chebyshev transform A(x)-> (1/(1+x^2)^2)A(x/(1+x^2)). See A099451 and A099452.`
	LINKS	`The Rolfsen Knot Table`
	FORMULA	`a(n)=sum{k=0..floor(n/2), binomial(n-k, k)(-7)^k*5^(n-2k)}.`
	CROSSREFS	`Sequence in context: A056782 A081492 A011845 this_sequence A001793 A093374 A000745` `Adjacent sequences: A099447 A099448 A099449 this_sequence A099451 A099452 A099453`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 16 2004`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

AT&T Labs Research