id:A099459 - OEIS Search Results

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Expansion of 1/(1-7x+9x^2).

+0
4

1, 7, 40, 217, 1159, 6160, 32689, 173383, 919480, 4875913, 25856071, 137109280, 727060321, 3855438727, 20444528200, 108412748857, 574888488199, 3048504677680, 16165536349969, 85722212350663, 454565659304920 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Associated to the knot 9_48 by the modified Chebyshev transform A(x)-> (1/(1+x^2)^2)A(x/(1+x^2)). See A099460 and A099461.`
	LINKS	`The Rolfsen Knot Table`
	FORMULA	`a(n)=sum{k=0..floor(n/2), binomial(n-k, k)(-9)^k*7^(n-2k)}.` `a(n)=sum{k=0..n, binomial(2n-k+1, k)3^k}; - Paul Barry (pbarry(AT)wit.ie), Jan 17 2005`
	CROSSREFS	`Cf. A002540.` `Adjacent sequences: A099456 A099457 A099458 this_sequence A099460 A099461 A099462` `Sequence in context: A083327 A026716 A026782 this_sequence A051814 A121582 A062727`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 16 2004`

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.

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