A058970 Denominators of expansion of a function eta(x) related to Cremer points.

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

Offset

1,2

References

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

Links

Table of n, a(n) for n=1..30.

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: A232342 A341199 A072652 * A223406 A366683 A075382

Adjacent sequences: A058967 A058968 A058969 * A058971 A058972 A058973

Keyword

nonn,easy,frac

Author

N. J. A. Sloane, Jan 14 2001

Extensions

More terms from Vladeta Jovovic, Feb 19 2001

Status

approved