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April 17th, 2017, 01:15 PM   #1
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Seeking the sequence

Without looking at OEIS, what is the significance of the following fundamental yet overlooked sequence?

0, 1, 1, 1, 2, 2, 4, 8, 12, 96...
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April 18th, 2017, 09:57 AM   #2
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it looks like

$a_0=0$
$a_1=1$

$a_{2k} = a_{2k-1}+a_{2k-2}$

$a_{2k+1} = a_{2k} \cdot a_{2k-1}$

significance of it? No idea.
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April 18th, 2017, 10:07 AM   #3
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The significance is simplicity and you got it!
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April 18th, 2017, 12:56 PM   #4
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I don't know why you'd call it fundamental.
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April 18th, 2017, 02:03 PM   #5
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Starting on zero and one, two fundamentally related operations alternate.

OEIS reveals these numbers eventually as 2^Fibonacci(n-3).
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