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A159778 Decimal expansion of (171+26*sqrt(2))/167. 4

%I #10 Sep 08 2022 08:45:44

%S 1,2,4,4,1,2,9,0,5,7,6,1,4,9,7,2,8,8,1,8,4,9,3,6,4,7,1,1,5,5,3,6,0,5,

%T 6,8,8,8,7,9,1,1,0,5,9,1,3,7,6,0,5,1,7,9,5,8,2,3,9,1,4,2,1,0,7,0,5,1,

%U 4,3,9,7,8,6,8,2,7,2,3,2,5,1,5,5,7,5,4,5,3,6,4,6,2,5,8,6,0,3,6,4,6,1,7,4,2

%N Decimal expansion of (171+26*sqrt(2))/167.

%C Equals Lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130608.

%C Equals Lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159777.

%H G. C. Greubel, <a href="/A159778/b159778.txt">Table of n, a(n) for n = 1..10000</a>

%F Equals (13 + sqrt(2))/(13 - sqrt(2)).

%e (171+26*sqrt(2))/167 = 1.24412905761497288184...

%t RealDigits[(171+26*Sqrt[2])/167, 10, 100][[1]] (* _G. C. Greubel_, May 21 2018 *)

%o (PARI) (171+26*sqrt(2))/167 \\ _G. C. Greubel_, May 21 2018

%o (Magma) (171 +26*Sqrt(2))/167; // _G. C. Greubel_, May 21 2018

%Y Cf. A130608, A159777, A002193 (decimal expansion of sqrt(2)), A159779 (decimal expansion of (56211+34510*sqrt(2))/167^2).

%K cons,nonn

%O 1,2

%A _Klaus Brockhaus_, Apr 30 2009

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Last modified July 28 00:45 EDT 2024. Contains 374674 sequences. (Running on oeis4.)