id:A140833 - OEIS Search Results

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Sum of Fibonacci numbers between F(-n)....F(n), inclusive.

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0, 2, 2, 6, 6, 16, 16, 42, 42, 110, 110, 288, 288, 754, 754, 1974, 1974, 5168, 5168, 13530, 13530, 35442, 35442, 92736, 92736, 242786, 242786, 635622, 635622, 1664080, 1664080, 4356618, 4356618, 11405774, 11405774, 29860704, 29860704 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`a(2n-1)/a(2n)=1.` `a(2n)/a(2n+1) converges at ((((sqrt 5)-1)/2)^2).`
	FORMULA	`a(n) = 3a(n-2) - a(n-4)` `G.f.: 2x(1+x)/((1-x-x^2)(1+x-x^2)). a(n)=2A094966(n) = A000045(n+2)-A039834(n-1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 30 2008]`
	EXAMPLE	`a(3) = 2+(-1)+1+0+1+1+2=6.`
	CROSSREFS	`Cf. A000045, A025169, A001906.` `Sequence in context: A165124 A056453 A034422 this_sequence A071908 A011260 A117855` `Adjacent sequences: A140830 A140831 A140832 this_sequence A140834 A140835 A140836`
	KEYWORD	`nonn`
	AUTHOR	`Carey W. Strutz (cwstrutz(AT)excite.com), Jul 18 2008, Jul 21 2008`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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