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Search: id:A000301
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| A000301 |
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a(n) = a(n-1)*a(n-2); also a(n)=2^Fibonacci(n). |
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+0
14
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| 1, 2, 2, 4, 8, 32, 256, 8192, 2097152, 17179869184, 36028797018963968, 618970019642690137449562112, 22300745198530623141535718272648361505980416
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Continued fraction expansion of s=1.709803442861291...=sum( k>=0,1/2^floor(k*PHI) ) where PHI is the golden ratio (1+sqrt(5))/2 - Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 19 2002
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REFERENCES
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J. L. Davison, A series and its associated continued fraction, Proc. Amer. Math. Soc., 63 (1977), 29-32.
S. Wolfram, "A new kind of science", p. 913
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MAPLE
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A000301 := proc(n) option remember; if n <=2 then n else A000301(n-1)*A000301(n-2); fi; end;
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CROSSREFS
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Sequence in context: A070323 A109213 A109214 this_sequence A124439 A082836 A005141
Adjacent sequences: A000298 A000299 A000300 this_sequence A000302 A000303 A000304
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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