cp's OEIS Frontend

A159591 Decimal expansion of (507363+329222*sqrt(2))/449^2.

%I A159591 #8 Sep 08 2022 08:45:44
%S A159591 4,8,2,6,1,3,2,8,9,3,3,4,6,7,3,4,8,7,8,0,8,3,8,8,6,3,1,5,8,5,0,4,4,3,
%T A159591 3,0,5,4,5,4,1,6,2,0,0,3,9,3,5,2,4,6,3,4,5,7,3,9,2,2,1,8,1,2,8,9,1,7,
%U A159591 2,6,3,7,0,5,2,5,2,0,4,7,5,3,6,6,8,8,9,1,9,4,4,1,1,9,3,9,8,2,8,6,0,1,5,2,8
%N A159591 Decimal expansion of (507363+329222*sqrt(2))/449^2.
%C A159591 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130004.
%C A159591 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159589.
%H A159591 G. C. Greubel, <a href="/A159591/b159591.txt">Table of n, a(n) for n = 1..10000</a>
%F A159591 Equals (842+391*sqrt(2))/(842-391*sqrt(2)).
%F A159591 Equals (3+2*sqrt(2))*(30-sqrt(2))^2/(30+sqrt(2))^2.
%e A159591 (507363+329222*sqrt(2))/449^2 = 4.82613289334673487808...
%t A159591 RealDigits[(507363+329222*Sqrt[2])/449^2, 10, 100][[1]] (* _G. C. Greubel_, May 05 2018 *)
%o A159591 (PARI) (507363+329222*sqrt(2))/449^2 \\ _G. C. Greubel_, May 05 2018
%o A159591 (Magma) (507363+329222*Sqrt(2))/449^2; // _G. C. Greubel_, May 05 2018
%Y A159591 Cf. A130004, A159589, A002193 (decimal expansion of sqrt(2)), A159590 (decimal expansion of (451+30*sqrt(2))/449).
%K A159591 cons,nonn
%O A159591 1,1
%A A159591 _Klaus Brockhaus_, Apr 17 2009