id:A099839 - OEIS Search Results

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A transform of the Fibonacci numbers.

+0
3

1, -11, 105, -995, 9425, -89275, 845625, -8009875, 75870625, -718656875, 6807215625, -64478871875, 610752640625, -5785132046875, 54797557265625, -519049912421875, 4916511337890625, -46569863816796875, 441116081478515625, -4178311495701171875 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`The g.f. is the image of the g.f. x/(1-x-x^2) of A000045 under the transformation G(x)-> 1/(2(1+x))G((1-x)/(2(1+x)).`
	FORMULA	`G.f.: (1-x)/(1+10x+5x^2); a(n)=(-5-2sqrt(5))^n(1/2+3sqrt(5)/10)+(-5+2sqrt(5))^n(1/2-3sqrt(5)/10).`
	CROSSREFS	`Sequence in context: A141915 A016133 A077250 this_sequence A075183 A116011 A058715` `Adjacent sequences: A099836 A099837 A099838 this_sequence A099840 A099841 A099842`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 27 2004`

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.

AT&T Labs Research