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A120530
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First differences of successive generalized meta-Fibonacci numbers A120508.
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2
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1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| C. Deugau and F. Ruskey, Complete k-ary Trees and Generalized Meta-Fibonacci Sequences, J. Integer Seq., Vol. 12. [This is a later version than that in the GenMetaFib.html link]
C. Deugau and F. Ruskey, Complete k-ary Trees and Generalized Meta-Fibonacci Sequences
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FORMULA
| d(n) = 0 if node n is an inner node, or 1 if node n is a leaf.
g.f.: z (1 + z^2 ( (1 - z^(3 * [1])) / (1 - z^[1]) + z^5 * (1 - z^(4 * [i]))/(1 - z^[1]) ( (1 - z^(3 * [2])) / (1 - z^[2]) + z^17 * (1 - z^(4 * [2]))/(1 - z^[2]) (..., where [i] = (4^i - 1) / 3.
g.f.: D(z) = z * (1-z) * sum(prod(z * (1 - z^(4 * [i])) / (1 - z^[i]), i=1..n), n=0..infinity), where [i] = (4^i - 1) / 3., Jun 20 2006
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MAPLE
| d := n -> if n=1 then 1 else A120508(n)-A120508(n-1) fi;
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CROSSREFS
| Cf. A120508, A120519.
Sequence in context: A118251 A099076 A175479 * A078616 A104106 A141260
Adjacent sequences: A120527 A120528 A120529 * A120531 A120532 A120533
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KEYWORD
| nonn
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AUTHOR
| Frank Ruskey (http://www.cs.uvic.ca/~ruskey/) and Chris Deugau (deugaucj(AT)uvic.ca), Jun 20 2006
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