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Decimal expansion of (32 + sqrt(1297))/13.
3

%I #7 Sep 08 2022 08:45:54

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

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

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

%N Decimal expansion of (32 + sqrt(1297))/13.

%C Continued fraction expansion of (32+sqrt(1297))/13 is A164360.

%H G. C. Greubel, <a href="/A178566/b178566.txt">Table of n, a(n) for n = 1..10000</a>

%e (32 + sqrt(1297))/13 = 5.23183740082601638241...

%t RealDigits[(32 + Sqrt[1297])/13, 10, 100][[1]] (* _G. C. Greubel_, Jan 30 2019 *)

%o (PARI) default(realprecision, 100); (32+sqrt(1297))/13 \\ _G. C. Greubel_, Jan 30 2019

%o (Magma) SetDefaultRealField(RealField(100)); (32+Sqrt(1297))/13; // _G. C. Greubel_, Jan 30 2019

%o (Sage) numerical_approx((32+sqrt(1297))/13, digits=100) # _G. C. Greubel_, Jan 30 2019

%Y Cf. A178567 (decimal expansion of sqrt(1297)), A164360 (repeat 5, 4, 3).

%K cons,nonn

%O 1,1

%A _Klaus Brockhaus_, May 29 2010