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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.

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: A008807 A008819 A021496 this_sequence A135351 A079451 A049799

Adjacent sequences: A007489 A007490 A007491 this_sequence A007493 A007494 A007495

KEYWORD

nonn

AUTHOR

njas, Robert G. Wilson v (rgwv(AT)rgwv.com)

EXTENSIONS

More terms from Michael Somos, Apr 28, 2000.

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


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