cp's OEIS Frontend

A177037 Decimal expansion of (9 + 2*sqrt(39))/15.

%I A177037 #29 Mar 20 2023 10:39:45
%S A177037 1,4,3,2,6,6,6,3,9,9,7,8,6,4,5,3,0,9,4,1,1,2,9,1,9,0,8,2,7,9,1,9,7,2,
%T A177037 5,9,4,8,0,9,7,2,7,9,9,7,0,6,5,5,5,4,1,7,4,4,6,0,3,9,6,2,5,7,4,1,4,6,
%U A177037 1,4,8,2,6,7,4,4,4,6,8,6,0,0,0,8,4,4,4,4,8,1,4,9,6,2,8,4,5,4,1,1,6,1,4,3,7
%N A177037 Decimal expansion of (9 + 2*sqrt(39))/15.
%C A177037 Continued fraction expansion of (9 + 2*sqrt(39))/15 is A010883.
%C A177037 The positive solution to 15*x^2 - 18*x - 5 = 0. - _Michal Paulovic_, Feb 23 2023
%F A177037 Equals sqrt(1/3 + (6/5) * sqrt(1/3 + (6/5) * sqrt(1/3 + (6/5) * ...))). - _Michal Paulovic_, Feb 23 2023
%e A177037 1.43266639978645309411...
%p A177037 evalf(3/5 + sqrt(52/75), 100); # _Michal Paulovic_, Feb 24 2023
%t A177037 RealDigits[(9+2*Sqrt[39])/15,10,120][[1]] (* _Harvey P. Dale_, Feb 12 2013 *)
%o A177037 (PARI) my(c=(9+2*quadgen(4*39))/15); a_vector(len) = digits(floor(c*10^(len-1)));
%o A177037 a_vector(100) \\ _Kevin Ryde_, Feb 24 2023
%Y A177037 Cf. A010493 (decimal expansion of sqrt(39)), A010883 (repeat 1, 2, 3, 4).
%K A177037 cons,nonn
%O A177037 1,2
%A A177037 _Klaus Brockhaus_, May 01 2010