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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. 2
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 (list; constant; graph; refs; listen; history; text; internal format)
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
EXAMPLE
0.58565197968957261459032861223356319799409789265437719426362121839705...
PROG
(PARI) vecmin (abs (imag (polroots (x^4 + x^2 + x + 1))))
(PARI) polrootsreal(4096*x^12 - 8192*x^10 + 7680*x^8 - 4480*x^6 - 368*x^4 - 312*x^2 + 257)[3] \\ Charles R Greathouse IV, Oct 27 2023
CROSSREFS
Sequence in context: A306204 A178331 A199395 * A358630 A100610 A101465
KEYWORD
nonn,cons
AUTHOR
Hugo Pfoertner, Oct 02 2023
STATUS
approved

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Last modified February 22 09:46 EST 2024. Contains 370250 sequences. (Running on oeis4.)