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A120525
First differences of successive generalized meta-Fibonacci numbers A120503.
2
1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1
OFFSET
1,1
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]
FORMULA
d(n) = 0 if node n is an inner node, or 1 if node n is a leaf.
g.f.: z (1 + z^1 ( (1 - z^(2 * [1])) / (1 - z^[1]) + z^3 * (1 - z^(3 * [i]))/(1 - z^[1]) ( (1 - z^(2 * [2])) / (1 - z^[2]) + z^9 * (1 - z^(3 * [2]))/(1 - z^[2]) (..., where [i] = (3^i - 1) / 2.
g.f.: D(z) = z * prod((1 - z^(3 * [i])) / (1 - z^[i])), i=1..infinity), where [i] = (3^i - 1) / 2.
MAPLE
d := n -> if n=1 then 1 else A120503(n)-A120503(n-1) fi;
CROSSREFS
Sequence in context: A132350 A076213 A368907 * A285373 A359543 A361121
KEYWORD
nonn
AUTHOR
Frank Ruskey and Chris Deugau (deugaucj(AT)uvic.ca), Jun 20 2006
STATUS
approved