A159894 - OEIS

%I #9 Sep 08 2022 08:45:44

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

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

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

%N Decimal expansion of (731+54*sqrt(2))/727.

%C lim_{n -> infinity} b(n)/b(n-1) = (731+54*sqrt(2))/727 for n mod 3 = {1, 2}, b = A130646.

%C lim_{n -> infinity} b(n)/b(n-1) = (731+54*sqrt(2))/727 for n mod 3 = {0, 2}, b = A159893.

%H G. C. Greubel, <a href="/A159894/b159894.txt">Table of n, a(n) for n = 1..10000</a>

%F Equals (27 +sqrt(2))/(27 -sqrt(2)).

%e 1.11054681206072507927...

%t RealDigits[(731+54Sqrt[2])/727,10,120][[1]] (* _Harvey P. Dale_, May 25 2013 *)

%o (PARI) (731 +54*sqrt(2))/727 \\ _G. C. Greubel_, May 17 2018

%o (Magma) (731 +54*Sqrt(2))/727; // _G. C. Greubel_, May 17 2018

%Y Cf. A130646, A159893, A002193 (decimal expansion of sqrt(2)), A159895 (decimal expansion of (1304787+843542*sqrt(2))/727^2).

%K cons,nonn

%O 1,5

%A _Klaus Brockhaus_, Apr 30 2009