The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A366164 Decimal expansion of the absolute value of the imaginary part of the larger pair of the 4 complex roots of x^4 + x^2 + x + 1 = 0. 2

%I #8 Oct 27 2023 11:52:56

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

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

%U 8,3,5,6,8,3,8,3,4,7,5,7,0,5,1,9,1,3,7,9,3,6,4

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

%C The 4 roots are -(A366162) +- i*(A366163) and (A366162) +- i*D, where D is the constant given by this sequence.

%H <a href="/index/Al#algebraic_12">Index entries for algebraic numbers, degree 12</a>

%e 1.120873489937059302856055357373632173488591417333...

%o (PARI) vecmax (abs (imag (polroots (x^4 + x^2 + x + 1))))

%o (PARI) polrootsreal(4096*x^12 - 8192*x^10 + 7680*x^8 - 4480*x^6 - 368*x^4 - 312*x^2 + 257)[4] \\ _Charles R Greathouse IV_, Oct 27 2023

%Y Cf. A366162, A366163.

%K nonn,cons

%O 1,3

%A _Hugo Pfoertner_, Oct 02 2023

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 21 05:34 EDT 2024. Contains 372728 sequences. (Running on oeis4.)