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 A240808 a(0)=2, a(1)=1, a(2)=0; thereafter a(n) = a(n-1-a(n-1))+a(n-2-a(n-2)) unless a(n-1) <= n-1 or a(n-2) <= n-2 in which case the sequence terminates. 8
 2, 1, 0, 2, 1, 3, 2, 1, 3, 5, 4, 3, 5, 4, 6, 8, 4, 6, 8, 7, 9, 8, 7, 12, 11, 7, 12, 14, 10, 12, 14, 10, 12, 17, 13, 12, 20, 16, 12, 20, 19, 15, 20, 19, 18, 23, 19, 21, 26, 19, 21, 26, 19, 24, 29, 19, 27, 32, 19, 27, 32, 22, 30, 32, 22, 30, 32, 25, 33, 32, 28, 36, 32, 31, 39, 32, 31, 42, 35, 31, 45, 38, 31, 45, 38, 31, 48, 41, 31, 51, 44, 31, 51, 47, 34 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS a(A241218(n)) = n and a(m) <> n for m < A241218(n). - Reinhard Zumkeller, Apr 17 2014 REFERENCES Higham, Jeff and Tanny, Stephen, A tamely chaotic meta-Fibonacci sequence. Twenty-third Manitoba Conference on Numerical Mathematics and Computing (Winnipeg, MB, 1993). Congr. Numer. 99 (1994), 67-94. [Contains a detailed analysis of this sequence] LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..20000 Rémy Sigrist, Colored scatterplot of a(n) for n = 0..20000 (where the color is function of n mod 3) MAPLE a:=proc(n) option remember; global k; if n = 0 then 2 elif n = 1 then 1 elif n = 2 then 0 else if (a(n-1) <= n-1) and (a(n-2) <= n-2) then a(n-1-a(n-1))+a(n-2-a(n-2)); else lprint("died with n =", n); return (-1); fi; fi; end; [seq(a(n), n=0..100)]; PROG (Haskell) a240808 n = a240808_list !! n a240808_list = 2 : 1 : 0 : zipWith (+) xs (tail xs)    where xs = map a240808 \$ zipWith (-) [1..] \$ tail a240808_list -- Reinhard Zumkeller, Apr 17 2014 CROSSREFS A006949 and A240807 have the same recurrence but different initial conditions. Trisections: A244780..A244782. Sequence in context: A153247 A071432 A194508 * A263142 A025253 A281228 Adjacent sequences:  A240805 A240806 A240807 * A240809 A240810 A240811 KEYWORD nonn,look AUTHOR N. J. A. Sloane, Apr 15 2014 STATUS approved

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Last modified April 14 22:47 EDT 2021. Contains 342971 sequences. (Running on oeis4.)