cp's OEIS Frontend

A159468 Decimal expansion of (34947+21922*sqrt(2))/127^2.

%I A159468 #19 Oct 06 2024 00:13:25
%S A159468 4,0,8,8,8,7,0,3,4,0,0,2,9,9,4,5,4,1,8,8,0,0,3,3,6,0,5,3,8,2,3,8,5,7,
%T A159468 7,2,6,9,7,6,5,2,3,4,5,7,8,7,1,7,4,9,9,9,4,4,3,1,0,9,7,6,0,1,6,0,1,6,
%U A159468 3,9,1,2,1,6,3,4,7,1,4,5,2,0,7,8,1,0,8,9,6,8,4,8,8,6,2,6,4,4,0,3,0,9,3,6,1
%N A159468 Decimal expansion of (34947+21922*sqrt(2))/127^2.
%C A159468 lim_{n -> infinity} b(n)/b(n-1) = (34947+21922*sqrt(2))/127^2 for n mod 3 = 0, b = A129992.
%C A159468 lim_{n -> infinity} b(n)/b(n-1) = (34947+21922*sqrt(2))/127^2 for n mod 3 = 1, b = A159466.
%H A159468 G. C. Greubel, <a href="/A159468/b159468.txt">Table of n, a(n) for n = 1..10000</a>
%F A159468 Equals (226+97*sqrt(2))/(226-97*sqrt(2)).
%F A159468 Equals (3+2*sqrt(2))*(16-sqrt(2))^2/(16+sqrt(2))^2.
%e A159468 (34947+21922*sqrt(2))/127^2 = 4.08887034002994541880...
%p A159468 with(MmaTranslator[Mma]): Digits:=100:
%p A159468 RealDigits(evalf((34947+21922*sqrt(2))/127^2))[1]; # _Muniru A Asiru_, Mar 31 2018
%t A159468 RealDigits[(34947+21922*Sqrt[2])/127^2,10,120][[1]] (* _Harvey P. Dale_, May 11 2012 *)
%o A159468 (PARI) (34947+21922*sqrt(2))/127^2 \\ _G. C. Greubel_, Mar 30 2018
%o A159468 (Magma) (34947 + 21922*Sqrt(2))/127^2; // _G. C. Greubel_, Mar 30 2018
%Y A159468 Cf. A129992, A159466, A002193 (decimal expansion of sqrt(2)), A156035 (decimal expansion of 3+2*sqrt(2)), A159467 (decimal expansion of (129+16*sqrt(2))/127).
%K A159468 cons,nonn,easy
%O A159468 1,1
%A A159468 _Klaus Brockhaus_, Apr 13 2009