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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 (list; graph; refs; listen; history; text; internal format)
 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] C. Deugau and F. Ruskey, Complete k-ary Trees and Generalized Meta-Fibonacci Sequences 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 Cf. A120503, A120514. Sequence in context: A304653 A132350 A076213 * A285373 A112299 A230901 Adjacent sequences:  A120522 A120523 A120524 * A120526 A120527 A120528 KEYWORD nonn AUTHOR Frank Ruskey and Chris Deugau (deugaucj(AT)uvic.ca), Jun 20 2006 STATUS approved

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Last modified January 19 03:18 EST 2020. Contains 331031 sequences. (Running on oeis4.)