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A161485 Decimal expansion of (24723 + 6758*sqrt(2))/151^2. 4

%I

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

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

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

%N Decimal expansion of (24723 + 6758*sqrt(2))/151^2.

%C lim_{n -> infinity} b(n)/b(n-1) = (24723+6758*sqrt(2))/151^2 for n mod 3 = 0, b = A161482.

%C lim_{n -> infinity} b(n)/b(n-1) = (24723+6758*sqrt(2))/151^2 for n mod 3 = 1, b = A161483.

%H G. C. Greubel, <a href="/A161485/b161485.txt">Table of n, a(n) for n = 1..10000</a>

%F Equals (218 + 31*sqrt(2))/(218 - 31*sqrt(2)).

%F Equals (3 + 2*sqrt(2))*(13 - 3*sqrt(2))^2/(13 + 3*sqrt(2))^2.

%e (24723 + 6758*sqrt(2))/151^2 = 1.50345402633732627252...

%t RealDigits[(24723 + 6758*Sqrt[2])/151^2, 10, 100][[1]] (* _G. C. Greubel_, Apr 07 2018 *)

%o (PARI) (24723 + 6758*sqrt(2))/151^2 \\ _G. C. Greubel_, Apr 07 2018

%o (MAGMA) (24723 + 6758*Sqrt(2))/151^2; // _G. C. Greubel_, Apr 07 2018

%Y Cf. A161482, A161483, A002193 (decimal expansion of sqrt(2)), A161484 (decimal expansion of (187+78*sqrt(2))/151).

%K cons,nonn

%O 1,2

%A _Klaus Brockhaus_, Jun 13 2009

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Last modified June 21 12:58 EDT 2021. Contains 345364 sequences. (Running on oeis4.)