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A117655
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a(n) = floor(f(n)), where f(n) = (5 - 4.37/(f(n-1) + f(n-2))^(1/3))^3, f(0) = 0, and f(1) = 1.
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2
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0, 1, 0, 0, 0, 0, 1, 3, 12, 34, 54, 64, 69, 71, 71, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,8
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LINKS
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FORMULA
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a(n) = floor(f(n)), where f(n) = (5 - 4.37/(f(n-1) + f(n-2))^(1/3))^3, f(0) = 0, and f(1) = 1.
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MATHEMATICA
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f[n_]:= f[n]= If[n<2, n, (5 -4.37/(f[n-1]+f[n-2])^(1/3))^3];
a[n_]:= Floor[f[n]];
Table[a[n], {n, 0, 100}]
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PROG
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(Magma)
f:=[n le 2 select n-1 else (5 - 4.37/(Self(n-1) + Self(n-2))^(1/3))^3 : n in [1..101]];
A117655:= func< n | Floor(f[n+1]) >;
(SageMath)
@CachedFunction
def f(n): return n if n<2 else (5 - 4.37/(f(n-1)+f(n-2))^(1/3))^3
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CROSSREFS
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KEYWORD
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nonn,less
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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