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 A366162 Decimal expansion of the absolute value of the real part of the 4 complex roots of x^4 + x^2 + x + 1 = 0. 2
 5, 4, 7, 4, 2, 3, 7, 9, 4, 5, 8, 6, 0, 5, 8, 5, 9, 7, 5, 2, 2, 8, 3, 1, 8, 6, 5, 9, 9, 3, 0, 3, 6, 6, 6, 6, 8, 5, 7, 2, 0, 8, 1, 6, 1, 9, 4, 9, 7, 5, 6, 5, 2, 7, 9, 0, 4, 8, 1, 3, 1, 8, 9, 1, 4, 3, 5, 8, 8, 7, 5, 9, 0, 6, 3, 4, 3, 3, 1, 2, 9, 1, 1, 8, 5, 1, 3, 9, 8, 8, 5, 1, 7, 8, 5, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The 4 roots are -R +- i*(A366163) and R +- i*(A366164), where R is the constant given by this sequence. LINKS Table of n, a(n) for n=0..95. Jose Capco and Claus Scheiderer, Expository notes on sum of square of polynomials with rational coefficients, Research Institute for Symbolic Computation, Johannes Kepler Universitaet Linz, Technical report, 2019 (see Example 1, page 3). Index entries for algebraic numbers, degree 6 EXAMPLE 0.547423794586058597522831865993036666857208161949756527904813189143588759... MATHEMATICA RealDigits[Abs[Re[N[Root[x^4+x^2+x+1, 1], 120]]]][[1]] (* Harvey P. Dale, Nov 28 2023 *) PROG (PARI) abs (real (polroots (x^4 + x^2 + x + 1)[1])) (PARI) polrootsreal(64*x^6 + 32*x^4 - 12*x^2 - 1)[2] \\ Charles R Greathouse IV, Oct 27 2023 CROSSREFS Cf. A366163, A366164. Sequence in context: A177161 A154776 A188932 * A195428 A254373 A343564 Adjacent sequences: A366159 A366160 A366161 * A366163 A366164 A366165 KEYWORD nonn,cons AUTHOR Hugo Pfoertner, Oct 02 2023 STATUS approved

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Last modified April 18 10:39 EDT 2024. Contains 371779 sequences. (Running on oeis4.)