id:A051792 - OEIS Search Results

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a(n)=(-1)^(n-1)*a(n-1)+(-1)^(n-2)*a(n-2), a(1)=1,a(2)=1.

+0
4

1, 1, 0, 1, 1, 0, -1, 1, 2, -1, -3, 2, 5, -3, -8, 5, 13, -8, -21, 13, 34, -21, -55, 34, 89, -55, -144, 89, 233, -144, -377, 233, 610, -377, -987, 610, 1597, -987, -2584, 1597, 4181, -2584, -6765, 4181, 10946, -6765, -17711, 10946, 28657, -17711, -46368 (list; graph; listen)

	OFFSET	`1,9`
	FORMULA	`G.f.: (x+x^2+x^3+2*x^4)/(1+x^2-x^4). a(n)=-a(n-2)+a(n-4) - Michael Somos.`
	PROGRAM	`(PARI) a(n)=fibonacci((3-n)\2+(3-n)%2*2)`
	CROSSREFS	`a(3-n)=A053602(n). Cf. A000045.` `Sequence in context: A008731 A114209 A132091 this_sequence A053602 A123231 A058736` `Adjacent sequences: A051789 A051790 A051791 this_sequence A051793 A051794 A051795`
	KEYWORD	`easy,sign`
	AUTHOR	`Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Dec 10 1999`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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