A103546 - OEIS

A103546

Decimal expansion of the negated value of the smallest real root of the quintic equation x^5 + 2*x^4 - 2*x^3 - x^2 + 2*x -1 = 0.

2, 4, 8, 6, 3, 4, 3, 7, 6, 4, 9, 5, 9, 0, 7, 9, 6, 6, 5, 2, 6, 7, 1, 9, 5, 3, 3, 0, 9, 7, 0, 7, 2, 2, 1, 2, 0, 1, 4, 0, 9, 0, 3, 8, 5, 2, 5, 9, 2, 7, 0, 5, 8, 1, 9, 7, 6, 4, 9, 9, 4, 0, 3, 3, 2, 9, 9, 1, 1, 1, 8, 5, 4, 0, 0, 1, 1, 4, 7, 3, 0, 5, 5, 1, 5, 5, 9, 0, 9, 1, 0, 4, 6, 9, 2, 8, 0, 8, 0, 1, 7, 2, 3, 1, 7

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OFFSET

1,1

COMMENTS

This is an approximation to the Feigenbaum reduction parameter.

The other two real roots are 0.76660865407289... and -1.16317291980104...

LINKS

Table of n, a(n) for n=1..105.

Eric Weisstein's World of Mathematics, Feigenbaum Constant.

Index entries for algebraic numbers, degree 5

EXAMPLE

The real roots are (roughly) -2.486343765, -1.163172920, 0.7666086541.