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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
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, 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, 8, 3, 5, 6, 8, 3, 8, 3, 4, 7, 5, 7, 0, 5, 1, 9, 1, 3, 7, 9, 3, 6, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
The 4 roots are -(A366162) +- i*(A366163) and (A366162) +- i*D, where D is the constant given by this sequence.
LINKS
EXAMPLE
1.120873489937059302856055357373632173488591417333...
PROG
(PARI) vecmax (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)[4] \\ Charles R Greathouse IV, Oct 27 2023
CROSSREFS
Sequence in context: A318136 A168037 A019658 * A021483 A011015 A319586
KEYWORD
nonn,cons
AUTHOR
Hugo Pfoertner, Oct 02 2023
STATUS
approved

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Last modified April 21 10:46 EDT 2024. Contains 371852 sequences. (Running on oeis4.)