A366163 - OEIS

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A366163

Decimal expansion of the absolute value of the imaginary part of the smaller pair of the 4 complex roots of x^4 + x^2 + x + 1 = 0.

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

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OFFSET

0,1

COMMENTS

The 4 roots are -(A366162) +- i*C and (A366162) +- i*(A366164), where C is the constant given by this sequence.

LINKS

Table of n, a(n) for n=0..95.

Index entries for algebraic numbers, degree 12

EXAMPLE

0.58565197968957261459032861223356319799409789265437719426362121839705...

MATHEMATICA

First[RealDigits[Im[Root[#^4 + #^2 + # + 1 &, 1]], 10, 100]] (* Paolo Xausa, Jun 25 2024 *)