cp's OEIS Frontend

A160100 Decimal expansion of (361299 +5950*sqrt(2))/601^2.

%I A160100 #10 Dec 14 2024 04:00:08
%S A160100 1,0,2,3,5,6,7,4,0,6,2,2,5,6,7,4,6,6,7,4,0,2,2,7,7,5,3,4,9,7,0,9,6,5,
%T A160100 4,8,3,3,9,4,2,5,8,4,5,3,4,8,8,4,8,1,0,4,2,5,0,9,2,9,8,8,2,3,7,6,0,3,
%U A160100 0,2,0,4,3,0,3,6,5,6,2,8,4,6,9,4,9,9,2,4,8,5,0,2,3,3,6,6,3,4,3,7,6,9,1,9,5
%N A160100 Decimal expansion of (361299 +5950*sqrt(2))/601^2.
%C A160100 lim_{n -> infinity} b(n)/b(n-1) = (361299+5950*sqrt(2))/601^2 for n mod 3 = 0, b = A111258.
%C A160100 lim_{n -> infinity} b(n)/b(n-1) = (361299+5950*sqrt(2))/601^2 for n mod 3 = 1, b = A160098.
%H A160100 G. C. Greubel, <a href="/A160100/b160100.txt">Table of n, a(n) for n = 1..10000</a>
%F A160100 Equals (850 +7*sqrt(2))/(850 -7*sqrt(2)).
%F A160100 Equals (3 +2*sqrt(2))*(38 -11*sqrt(2))^2/(38 +11*sqrt(2))^2.
%e A160100 (361299+5950*sqrt(2))/601^2 = 1.02356740622567466740...
%t A160100 RealDigits[(361299+5950*Sqrt[2])/601^2, 10, 100][[1]] (* _G. C. Greubel_, Apr 22 2018 *)
%o A160100 (PARI) (361299+5950*sqrt(2))/601^2 \\ _G. C. Greubel_, Apr 22 2018
%o A160100 (Magma) (361299+5950*Sqrt(2))/601^2; // _G. C. Greubel_, Apr 22 2018
%Y A160100 Cf. A111258, A160098, A002193 (decimal expansion of sqrt(2)), A160099 (decimal expansion of (843+418*sqrt(2))/601).
%K A160100 cons,nonn
%O A160100 1,3
%A A160100 _Klaus Brockhaus_, May 18 2009