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Search: id:A115339
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| A115339 |
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a(2n-1)=F(n+1), a(2n)=L(n), where F(n) and L(n) are the Fibonacci and the Lucas sequences. |
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+0
2
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| 1, 1, 2, 3, 3, 4, 5, 7, 8, 11, 13, 18, 21, 29, 34, 47, 55, 76, 89, 123, 144, 199, 233, 322, 377, 521, 610, 843, 987, 1364, 1597, 2207, 2584, 3571, 4181, 5778, 6765, 9349, 10946, 15127, 17711, 24476, 28657, 39603, 46368, 64079, 75025, 103682, 121393, 167761
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Alternate Fibonacci and Lucas sequence respecting their natural order.
See A116470 for an essentially identical sequence.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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a(n+2)=a(n)+a(n-2).
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MATHEMATICA
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f[n_] := If[OddQ@n, Fibonacci[(n + 3)/2], Fibonacci[n/2 - 1] + Fibonacci[n/2 + 1]]; Array[f, 50] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A000045, A000032.
Sequence in context: A125616 A141472 A029034 this_sequence A036019 A018120 A094979
Adjacent sequences: A115336 A115337 A115338 this_sequence A115340 A115341 A115342
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KEYWORD
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easy,nonn
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AUTHOR
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Giuseppe Coppoletta (gcoverest-11(AT)yahoo.fr), Mar 06 2006
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Apr 29 2006
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