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Decimal expansion of (7 + 5*sqrt(29))/26.
2

%I #9 Sep 08 2022 08:45:54

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

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

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

%N Decimal expansion of (7 + 5*sqrt(29))/26.

%C Continued fraction expansion of (7+5*sqrt(29))/26 is A084101.

%H G. C. Greubel, <a href="/A178593/b178593.txt">Table of n, a(n) for n = 1..10000</a>

%e (7+5*sqrt(29))/26 = 1.30483938598740462139...

%t RealDigits[(7+5*Sqrt[29])/26,10,120][[1]] (* _Harvey P. Dale_, Apr 09 2015 *)

%o (PARI) default(realprecision, 100); (7+5*sqrt(29))/26 \\ _G. C. Greubel_, Jan 29 2019

%o (Magma) SetDefaultRealField(RealField(100)); (7+5*Sqrt(29))/26; // _G. C. Greubel_, Jan 29 2019

%o (Sage) numerical_approx((7+5*sqrt(29))/26, digits=100) # _G. C. Greubel_, Jan 29 2019

%Y Cf. A010484 (decimal expansion of sqrt(29)), A084101 (repeat 1, 3, 3, 1).

%K cons,nonn

%O 1,2

%A _Klaus Brockhaus_, May 31 2010