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A058969 Numerators of expansion of a function eta(x) related to Cremer points. +0
2
0, -1, 1, 1, 1, 9, 1, 7, -3, 29, 1, 25, -559, 1233, -649, 9, 657, 2095, -1049, 8437, -58511, 15009, 9599, -72239, -331963, 199143, -336957, -19933215, 5244833, 12753863, -5056631, 4008225, -43124935, 53492355, 209893, -280337735, 1590018051, 930727499, -1351486709, -4535792473 (list; graph; listen)
OFFSET

1,6

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. A058970.

Sequence in context: A021920 A141749 A117017 this_sequence A021113 A019948 A154207

Adjacent sequences: A058966 A058967 A058968 this_sequence A058970 A058971 A058972

KEYWORD

sign,frac,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 14 2001

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 18 2001

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


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