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A007568
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Knopfmacher expansion of 2/3: a(n+1) = a(n-1)(a(n)+1)-1.
(Formerly M3209)
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0
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4, 3, 3, 11, 35, 395, 13859, 5474699, 75873867299, 415386585433442699, 31516986660961757816520267299, 13091733472248265157675672660811061946713442699, 412611989213715130181341760777978491100613491478334525377331427960520267299
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| A. Knopfmacher, ``Rational numbers with predictable Engel product expansions,'' in G. E. Bergum et al., eds., Applications of Fibonacci Numbers. Vol. 5, pp. 421-427.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Index entries for sequences related to Engel expansions
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MATHEMATICA
| t={1, 3}; Do[AppendTo[t, (t[[-1]]+1)*t[[-2]]-1], {n, 11}]; t[[1]]=4; t (* From Vladimir Joseph Stephan Orlovsky, Jan 28 2012 *)
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CROSSREFS
| Sequence in context: A155835 A138187 A055525 * A091884 A048156 A070431
Adjacent sequences: A007565 A007566 A007567 * A007569 A007570 A007571
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jeffrey Shallit
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