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A007492 Fibonacci(n) - (-1)^n.
(Formerly M0029)
+0
3
2, 0, 3, 2, 6, 7, 14, 20, 35, 54, 90, 143, 234, 376, 611, 986, 1598, 2583, 4182, 6764, 10947, 17710, 28658, 46367, 75026, 121392, 196419, 317810, 514230, 832039, 1346270, 2178308, 3524579, 5702886, 9227466, 14930351, 24157818, 39088168 (list; graph; listen)
OFFSET

1,1

REFERENCES

R. Honsberger, Mathematical Gems III, M.A.A., 1985, p. 129.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

FORMULA

G.f.: x*(2-x^2)/((1+x)*(1-x-x^2)). a(n)=2*(n-2)+a(n-3).

MAPLE

with(combinat): A007492 := n->fibonacci(n)-(-1)^n;

PROGRAM

(PARI) a(n)=fibonacci(n)-(-1)^n

CROSSREFS

Sequence in context: A008819 A021496 A151929 this_sequence A135351 A079451 A049799

Adjacent sequences: A007489 A007490 A007491 this_sequence A007493 A007494 A007495

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)

EXTENSIONS

More terms from Michael Somos, Apr 28, 2000.

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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