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Search: id:A001060
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| A001060 |
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a(n) = a(n-1) + a(n-2).
(Formerly M1338 N0512)
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+0
6
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| 2, 5, 7, 12, 19, 31, 50, 81, 131, 212, 343, 555, 898, 1453, 2351, 3804, 6155, 9959, 16114, 26073, 42187, 68260, 110447, 178707, 289154, 467861, 757015, 1224876, 1981891, 3206767, 5188658, 8395425, 13584083, 21979508, 35563591, 57543099
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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A. Brousseau, Seeking the lost gold mine or exploring Fibonacci factorizations, Fib. Quart., 3 (1965), 129-130.
A. Brousseau, Fibonacci and Related Number Theoretic Tables. Fibonacci Association, San Jose, CA, 1972, p. 52.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Tanya Khovanova, Recursive Sequences
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
Index entries for sequences related to linear recurrences with constant coefficients
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FORMULA
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a(n)=2*fibonacci(n-3)+fibonacci(n), n>=3. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 05 2007
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MAPLE
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with(combinat):a:=n->2*fibonacci(n-3)+fibonacci(n): seq(a(n), n=3..38); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 05 2007
A001060:=-(2+3*z)/(-1+z+z**2); [Conjectured by S. Plouffe in his 1992 dissertation.]
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MATHEMATICA
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Table[a=Fibonacci[n+5]-Fibonacci[n], {n, -1, 60}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 23 2009]
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CROSSREFS
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Apart from initial term, same as A013655.
Sequence in context: A005895 A135525 A117538 this_sequence A042343 A042691 A112732
Adjacent sequences: A001057 A001058 A001059 this_sequence A001061 A001062 A001063
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KEYWORD
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nonn,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), May 04 2000
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