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A185443
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Engel expansion of A060997 = 1.433127...
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0
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1, 3, 4, 6, 6, 10, 10, 10, 21, 66, 207, 722, 6563, 25007, 372733, 2028763, 5472218, 41430101, 75142985, 192675195, 201216921, 925285050, 935598827, 2288358581, 2346034092, 26271379744, 41588896504, 152594692251, 529451874660
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graph;
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listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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MAPLE
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Digits := 5000:
a0 := evalf(BesselI(0, 2)/BesselI(1, 2)):
f1 := proc(n) local i, an, u, a:
an := [ ]:
u := n:
for i from 1 to 30 do
a := ceil(1/u):
an := [ op(an), a ]:
u := u * a - 1:
od:
RETURN (an): end: f1(a0);
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PROG
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(PARI) CFB(v)={ \\ converts a continued fraction to a number
my(x=v[#v]*1.);
forstep(i=#v-1, 1, -1,
x = v[i] + x^-1;
);
x
};
Engel(x)={
my(v=List(), t);
while(1,
trap(,
return(Vec(v))
,
t = ceil(1/x)
);
listput(v, t);
x = (x * t) - 1
)
};
\p 500
Engel(CFB(vector(500, i, i)))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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