id:A097131 - OEIS Search Results

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F(n)+(-1)^n*F(n-1).

+0
2

1, 1, 2, 1, 5, 2, 13, 5, 34, 13, 89, 34, 233, 89, 610, 233, 1597, 610, 4181, 1597, 10946, 4181, 28657, 10946, 75025, 28657, 196418, 75025, 514229, 196418, 1346269, 514229, 3524578, 1346269, 9227465, 3524578, 24157817, 9227465, 63245986, 24157817 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f. : x/(1-x-x^2)+(1+x)/(1+x-x^2)=(1+x-x^2-2x^3)/(1-3x^2+x^4); a(n)=3a(n-2)-a(n-4); a(2n)=F(2n+1); a(2n+1)=F(2n-1).` `a(n)=A087123(n-1), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 02 2008]`
	CROSSREFS	`Cf. A000045.` `Sequence in context: A113175 A109191 A087123 this_sequence A109738 A143891 A030400` `Adjacent sequences: A097128 A097129 A097130 this_sequence A097132 A097133 A097134`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 26 2004`

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.

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