A395592 - OEIS

%I #12 May 05 2026 00:37:43

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

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

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

%N Decimal expansion of the positive real root of x^4 - 3*x^3 - 4*x^2 - 2*x - 1.

%H <a href="/index/Al#algebraic_04">Index entries for algebraic numbers, degree 4</a>.

%F Equals (3 + sqrt(13) + sqrt(46+14*sqrt(13)))/4. - _Amiram Eldar_, May 02 2026

%e 4.10696460773475323178462658423551021771725433...

%t RealDigits[Root[x^4 - 3*x^3 - 4*x^2 - 2*x - 1, 2], 10, 120][[1]] (* _Amiram Eldar_, May 02 2026 *)

%o (PARI) polrootsreal(Pol([1, -3, -4, -2, -1]))[2]

%K nonn,cons

%O 1,1

%A _A.H.M. Smeets_, Apr 29 2026