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%I #22 Aug 21 2023 11:38:15
%S 4,1,4,6,2,6,4,3,6,9,9,4,1,9,7,2,3,4,2,3,2,9,1,3,5,0,6,5,7,1,5,5,7,0,
%T 4,4,5,5,1,2,4,7,7,1,2,9,1,8,7,3,2,8,7,0,1,2,3,2,4,8,6,7,1,7,4,4,2,6,
%U 6,5,4,9,5,3,7,0,9,0,7,0,7,5,9,3,1,5,3,3,7,2,1,0,8,4,8,9,0,1,4,8,4,1,0,6,3,9,9,8,7,6,4,6,3,1,9,0,0,0,0,5
%N Decimal expansion of 1 + sqrt(2) + sqrt(3).
%C This is an algebraic integer of degree 4, with minimal polynomial x^4 - 4*x^3 - 4*x^2 + 16*x - 8.
%H G. C. Greubel, <a href="/A297701/b297701.txt">Table of n, a(n) for n = 1..10000</a>
%H <a href="/index/Al#algebraic_04">Index entries for algebraic numbers, degree 4</a>
%F 1 + sqrt(2) + sqrt(3) = 1 + sqrt(5 + 2 sqrt(6)).
%F 1 + A002193 + A002194 = A014176 + A002194 = A165663 + A188582. - _Felix Fröhlich_, Jan 06 2018
%e 1.0000000000000000000000000000...
%e + 1.4142135623730950488016887242...
%e + 1.7320508075688772935274463415...
%e = 4.1462643699419723423291350657...
%t RealDigits[1 + Sqrt[2] + Sqrt[3], 10, 100][[1]]
%o (PARI) 1+sqrt(2)+sqrt(3) \\ _Felix Fröhlich_, Jan 06 2018
%o (Magma) SetDefaultRealField(RealField(100)); 1 + Sqrt(2) + Sqrt(3); // _G. C. Greubel_, Nov 20 2018
%o (Sage) numerical_approx(1+sqrt(2)+sqrt(3), digits=100) # _G. C. Greubel_, Nov 20 2018
%Y Essentially the same as A135611. Cf. A002193, A002194, A014176, A165663, A188582.
%K nonn,cons,easy
%O 1,1
%A _Alonso del Arte_, Jan 03 2018
%E Terms a(52) onward corrected by _G. C. Greubel_, Nov 20 2018
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