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A102875 Let f(n) = n+2 if n == 1 mod 3, = n if n == 2 mod 3, = n-2 if n == 0 mod 3; then a(n) = Fibonacci(f(n)). +0
1
0, 2, 1, 1, 8, 5, 3, 34, 21, 13, 144, 89, 55, 610, 377, 233, 2584, 1597, 987, 10946, 6765, 4181, 46368, 28657, 17711, 196418, 121393, 75025, 832040, 514229, 317811, 3524578, 2178309, 1346269, 14930352, 9227465, 5702887, 63245986, 39088169 (list; graph; listen)
OFFSET

0,2

COMMENT

In other words, split the Fibonacci numbers into groups of three and reverse each group.

MATHEMATICA

fib[n_Integer?Positive] := fib[n] = fib[n - 1] + fib[n - 2] fib[0] = 0; fib[1] = 1 f[n_] = If[Mod[n, 3] == 1, n + 2, If[Mod[n, 3] == 0, n - 2, n]] a = Table[fib[f[n]], {n, 1, 200}]

CROSSREFS

Adjacent sequences: A102872 A102873 A102874 this_sequence A102876 A102877 A102878

Sequence in context: A119418 A077058 A053373 this_sequence A021476 A051428 A129276

KEYWORD

nonn

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Mar 16 2005

EXTENSIONS

Edited by njas, Nov 12 2006

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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