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A120522 First differences of successive meta-Fibonacci numbers A006949. 1
1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..75.

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

B. Jackson and F. Ruskey, Meta-Fibonacci Sequences, Binary Trees and Extremal Compact Codes, Electronic Journal of Combinatorics, 13 (2006), #R26, 13 pages.

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^[1]) / (1 - z^[1]) + z^3 * (1 - z^(2 * [i]))/(1 - z^[1]) ( (1 - z^[2]) / (1 - z^[2]) + z^5 * (1 - z^(2 * [2]))/(1 - z^[2]) (..., where [i] = (2^i - 1).

MAPLE

d := n -> if n=1 then 1 else A006949(n)-A006949(n-1) fi;

CROSSREFS

Cf. A006949, A120511.

Sequence in context: A152490 A145273 A295892 * A157423 A098033 A284471

Adjacent sequences:  A120519 A120520 A120521 * A120523 A120524 A120525

KEYWORD

nonn

AUTHOR

Frank Ruskey and Chris Deugau (deugaucj(AT)uvic.ca), Jun 20 2006

STATUS

approved

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Last modified January 23 07:07 EST 2020. Contains 331168 sequences. (Running on oeis4.)