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A007492
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Fibonacci(n) - (-1)^n.
(Formerly M0029)
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3
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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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).
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FORMULA
| G.f.: x*(2-x^2)/((1+x)*(1-x-x^2)). a(n)=2*(n-2)+a(n-3).
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MAPLE
| with(combinat): A007492 := n->fibonacci(n)-(-1)^n;
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PROG
| (PARI) a(n)=fibonacci(n)-(-1)^n
(MAGMA) [(Fibonacci(n)-(-1)^n): n in [1..55]]; // Vincenzo Librandi, Apr 23 2011
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CROSSREFS
| Sequence in context: A169646 A021496 A151929 * A135351 A079451 A049799
Adjacent sequences: A007489 A007490 A007491 * A007493 A007494 A007495
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
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EXTENSIONS
| More terms from Michael Somos, Apr 28, 2000.
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