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A061083
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Fibonacci-type sequence based on division: a(0) = 1, a(1) = 2 and a(n) = a(n-2)/a(n-1) but ignore decimal point.
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2
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1, 2, 5, 4, 125, 32, 390625, 8192, 476837158203125, 17179869184, 277555756156289135105907917022705078125, 618970019642690137449562112
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refs;
listen;
history;
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OFFSET
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0,2
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LINKS
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_Reinhard Zumkeller_, Table of n, a(n) for n = 0..17
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FORMULA
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a(n) = k^(n-th Fibonacci number) with k=2 if n is odd, k=5 if n is even
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EXAMPLE
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a(6) = 390625, since a(4)/a(5) = 125/32 = 3.90625
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PROG
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(Haskell)
a061083 n = a061083_list !! n
a061083_list = 1 : 2 : zipWith divIgnPnt a061083_list (tail a061083_list)
where divIgnPnt x y = ddiv (10 * m) x' where
ddiv u w | r == 0 = 10 * w + q
| otherwise = ddiv (10 * r) (10 * w + q)
where (q, r) = divMod u y
(x', m) = divMod x y
-- Reinhard Zumkeller, Dec 29 2011
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CROSSREFS
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Cf. A061084 for subtraction, A000301 for multiplication and A000045 for addition - the common Fibonacci numbers
Sequence in context: A128202 A210419 A206484 * A177039 A075102 A209883
Adjacent sequences: A061080 A061081 A061082 * A061084 A061085 A061086
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KEYWORD
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nonn,easy,nice
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AUTHOR
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Ulrich Schimke (ulrschimke(AT)aol.com)
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STATUS
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approved
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