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A358942
Decimal expansion of the real root of x^5 - x^2 - 1.
3
1, 1, 9, 3, 8, 5, 9, 1, 1, 1, 3, 2, 1, 2, 2, 3, 0, 1, 2, 0, 0, 9, 0, 2, 0, 7, 4, 6, 2, 9, 8, 0, 3, 1, 1, 2, 4, 5, 1, 4, 5, 2, 4, 2, 6, 9, 4, 8, 6, 4, 4, 4, 5, 0, 9, 6, 0, 2, 0, 8, 1, 4, 0, 1, 5, 9, 6, 0, 3, 5, 5, 6, 2, 3, 8, 5
OFFSET
1,3
COMMENTS
The other (complex) roots are 0.154589676718332223... + 0.828074133201299911...*i, and -0.751519232378943729... + 0.784615921039447991...*i, together with their conjugates.
EXAMPLE
1.19385911132122301200902074629803112451452426948644450960208140159603556...
MATHEMATICA
RealDigits[x /. FindRoot[x^5 - x^2 - 1, {x, 1}, WorkingPrecision -> 120], 10, 120][[1]] (* Amiram Eldar, Dec 15 2022 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Wolfdieter Lang, Dec 15 2022
STATUS
approved