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A159692 Decimal expansion of (2052963 + 1343918*sqrt(2))/881^2.

%I A159692 #8 Sep 08 2022 08:45:44
%S A159692 5,0,9,3,7,2,4,1,9,1,6,5,2,6,6,6,3,3,0,5,6,2,1,7,4,4,8,0,3,7,5,1,3,9,
%T A159692 9,8,0,4,3,6,0,1,3,0,0,1,7,0,0,4,6,8,4,6,0,2,9,0,3,9,9,9,0,4,2,9,9,5,
%U A159692 3,2,1,9,8,8,4,7,7,1,0,6,7,7,8,5,9,0,2,0,3,7,6,3,8,9,0,9,3,7,6,6,8,1,7,5,7
%N A159692 Decimal expansion of (2052963 + 1343918*sqrt(2))/881^2.
%C A159692 Lim_{n -> infinity} b(n)/b(n-1) = (2052963+1343918*sqrt(2))/881^2 for n mod 3 = 0, b = A130014.
%C A159692 Lim_{n -> infinity} b(n)/b(n-1) = (2052963+1343918*sqrt(2))/881^2 for n mod 3 = 1, b = A159690.
%H A159692 G. C. Greubel, <a href="/A159692/b159692.txt">Table of n, a(n) for n = 1..10000</a>
%F A159692 Equals (1682 + 799*sqrt(2))/(1682 - 799*sqrt(2)).
%F A159692 Equals (3 + 2*sqrt(2))*(42 - sqrt(2))^2/(42 + sqrt(2))^2.
%e A159692 (2052963 + 1343918*sqrt(2))/881^2 = 5.09372419165266633056...
%t A159692 RealDigits[(2052963 + 1343918*Sqrt[2])/881^2, 10, 100][[1]] (* _G. C. Greubel_, Jun 02 2018 *)
%o A159692 (PARI) (2052963 + 1343918*sqrt(2))/881^2 \\ _G. C. Greubel_, Jun 02 2018
%o A159692 (Magma) (2052963 + 1343918*Sqrt(2))/881^2; // _G. C. Greubel_, Jun 02 2018
%Y A159692 Cf. A130014, A159690, A002193 (decimal expansion of sqrt(2)), A159691 (decimal expansion of (883+42*sqrt(2))/881).
%K A159692 cons,nonn
%O A159692 1,1
%A A159692 _Klaus Brockhaus_, Apr 21 2009