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A161485 Decimal expansion of (24723 + 6758*sqrt(2))/151^2.

%I A161485 #11 Sep 08 2022 08:45:45
%S A161485 1,5,0,3,4,5,4,0,2,6,3,3,7,3,2,6,2,7,2,5,2,3,2,1,4,4,3,7,8,8,4,7,0,4,
%T A161485 1,6,2,7,5,4,8,7,2,2,6,5,8,5,6,6,4,7,2,9,9,6,1,5,2,8,0,1,0,4,7,9,1,0,
%U A161485 7,8,0,2,6,8,1,6,6,7,1,1,7,0,9,3,7,7,1,8,4,7,5,3,7,3,2,8,1,9,5,0,2,8,9,1,6
%N A161485 Decimal expansion of (24723 + 6758*sqrt(2))/151^2.
%C A161485 lim_{n -> infinity} b(n)/b(n-1) = (24723+6758*sqrt(2))/151^2 for n mod 3 = 0, b = A161482.
%C A161485 lim_{n -> infinity} b(n)/b(n-1) = (24723+6758*sqrt(2))/151^2 for n mod 3 = 1, b = A161483.
%H A161485 G. C. Greubel, <a href="/A161485/b161485.txt">Table of n, a(n) for n = 1..10000</a>
%F A161485 Equals (218 + 31*sqrt(2))/(218 - 31*sqrt(2)).
%F A161485 Equals (3 + 2*sqrt(2))*(13 - 3*sqrt(2))^2/(13 + 3*sqrt(2))^2.
%e A161485 (24723 + 6758*sqrt(2))/151^2 = 1.50345402633732627252...
%t A161485 RealDigits[(24723 + 6758*Sqrt[2])/151^2, 10, 100][[1]] (* _G. C. Greubel_, Apr 07 2018 *)
%o A161485 (PARI) (24723 + 6758*sqrt(2))/151^2 \\ _G. C. Greubel_, Apr 07 2018
%o A161485 (Magma) (24723 + 6758*Sqrt(2))/151^2; // _G. C. Greubel_, Apr 07 2018
%Y A161485 Cf. A161482, A161483, A002193 (decimal expansion of sqrt(2)), A161484 (decimal expansion of (187+78*sqrt(2))/151).
%K A161485 cons,nonn
%O A161485 1,2
%A A161485 _Klaus Brockhaus_, Jun 13 2009