cp's OEIS Frontend

A161489 Decimal expansion of (52323 + 26522*sqrt(2))/191^2.

%I A161489 #14 Sep 08 2022 08:45:45
%S A161489 2,4,6,2,3,9,8,8,4,0,5,2,6,8,2,8,4,0,0,6,5,5,6,3,9,6,0,2,6,2,8,4,8,0,
%T A161489 9,1,9,9,2,6,1,2,1,4,7,3,6,0,9,4,7,9,3,6,7,2,5,3,9,6,5,0,7,8,0,1,2,9,
%U A161489 4,3,9,1,0,3,5,8,0,4,9,4,7,4,6,4,1,3,1,9,5,4,1,2,8,0,0,5,5,6,3,9,7,0,4,9,9
%N A161489 Decimal expansion of (52323 + 26522*sqrt(2))/191^2.
%C A161489 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A161486.
%C A161489 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A161487.
%H A161489 G. C. Greubel, <a href="/A161489/b161489.txt">Table of n, a(n) for n = 1..10000</a>
%F A161489 Equals (298 + 89*sqrt(2))/(298 - 89*sqrt(2)).
%F A161489 Equals (3 + 2*sqrt(2))*(20 - 3*sqrt(2))^2/(20 + 3*sqrt(2))^2.
%e A161489 (52323 + 26522*sqrt(2))/191^2 = 2.46239884052682840065...
%t A161489 RealDigits[(52323+26522*Sqrt[2])/191^2, 10, 100][[1]] (* _G. C. Greubel_, Apr 06 2018 *)
%o A161489 (PARI) (52323 + 26522*sqrt(2))/191^2 \\ _G. C. Greubel_, Apr 06 2018
%o A161489 (Magma) (52323 + 26522*Sqrt(2))/191^2; // _G. C. Greubel_, Apr 06 2018
%Y A161489 Cf. A161486, A161487, A002193 (decimal expansion of sqrt(2)), A161488 (decimal expansion of (209+60*sqrt(2))/191).
%K A161489 cons,nonn
%O A161489 1,1
%A A161489 _Klaus Brockhaus_, Jun 13 2009