|
| |
|
|
A115339
|
|
a(2n-1)=F(n+1), a(2n)=L(n), where F(n) and L(n) are the Fibonacci and the Lucas sequences.
|
|
2
| |
|
|
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; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
COMMENTS
| Alternate Fibonacci and Lucas sequence respecting their natural order.
See A116470 for an essentially identical sequence.
|
|
|
LINKS
| Eric Weisstein's World of Mathematics, Fibonacci Number
Eric Weisstein's World of Mathematics, Lucas Number.
Index to sequences with linear recurrences with constant coefficients, signature (0,1,0,1)
|
|
|
FORMULA
| a(n+2)=a(n)+a(n-2).
G.f. x*( -1-x-x^2-2*x^3 ) / ( -1+x^2+x^4 ). - R. J. Mathar, Mar 08 2011
|
|
|
MATHEMATICA
| f[n_] := If[OddQ@n, Fibonacci[(n + 3)/2], Fibonacci[n/2 - 1] + Fibonacci[n/2 + 1]]; Array[f, 50] (* Robert G. Wilson v *)
|
|
|
CROSSREFS
| Cf. A000045, A000032.
Sequence in context: A125616 A141472 A029034 * A036019 A018120 A094979
Adjacent sequences: A115336 A115337 A115338 * A115340 A115341 A115342
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Giuseppe Coppoletta (gcoverest-11(AT)yahoo.fr), Mar 06 2006
|
|
|
EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Apr 29 2006
|
| |
|
|
