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 A120506 Generalized meta-Fibonacci sequence a(n) with parameters s=3 and k=3. 2
 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 4, 5, 6, 6, 7, 8, 9, 9, 9, 9, 9, 9, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 18, 18, 19, 20, 21, 21, 22, 23, 24, 24, 25, 26, 27, 27, 27, 27, 27, 27, 27, 28, 29, 30, 30, 31, 32, 33, 33 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Table of n, a(n) for n=1..60. 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 If 1 <= n <= 4, a(n)=1. If 5 <= n <= 6, then a(n)=n-3. If n>6 then a(n)=a(n-3-a(n-1)) + a(n-4-a(n-2)) + a(n-5-a(n-3)). G.f.: A(z) = z * (1 - z^3) / (1 - z) * sum(prod(z^3 * (1 - z^(3 * [i])) / (1 - z^[i]), i=1..n), n=0..infinity), where [i] = (3^i - 1) / 2. MAPLE a := proc(n) option remember; if n <= 4 then return 1 end if; if n <= 6 then return n-3 end if; return add(a(n - i - 2 - a(n - i)), i = 1 .. 3) end proc CROSSREFS Cf. A120517, A120528. Sequence in context: A080344 A194225 A025782 * A327041 A277267 A246262 Adjacent sequences: A120503 A120504 A120505 * A120507 A120508 A120509 KEYWORD nonn AUTHOR Frank Ruskey and Chris Deugau (deugaucj(AT)uvic.ca), Jun 20 2006 STATUS approved

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Last modified October 4 12:52 EDT 2023. Contains 365885 sequences. (Running on oeis4.)