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A058970 Denominators of expansion of a function eta(x) related to Cremer points. +0
2
1, 4, 16, 16, 32, 256, 256, 256, 512, 2048, 512, 4096, 65536, 65536, 65536, 16384, 131072, 524288, 131072, 1048576, 8388608, 2097152, 8388608, 16777216, 67108864, 16777216, 134217728, 4294967296, 4294967296, 4294967296 (list; graph; listen)
OFFSET

1,2

REFERENCES

J. Milnor, Dynamics in One Complex Variable, Vieweg, 1999, p. 127.

FORMULA

eta(x) is the limit of the sequence defined by eta_0 = -x/2; eta_{i+1} = eta_i + x^{i-1} eta_i^2.

EXAMPLE

eta(x) = -1/4*x+1/16*x^2+1/16*x^3+1/32*x^4+9/256*x^5+...

CROSSREFS

Cf. A058969.

Sequence in context: A067178 A029659 A072652 this_sequence A075382 A009570 A140299

Adjacent sequences: A058967 A058968 A058969 this_sequence A058971 A058972 A058973

KEYWORD

nonn,easy,frac

AUTHOR

njas, Jan 14 2001

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 19 2001

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.


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