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Decimal expansion of (232405+sqrt(71216963807))/348378.
3

%I #7 Jan 09 2024 06:16:55

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

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

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

%N Decimal expansion of (232405+sqrt(71216963807))/348378.

%C Continued fraction expansion of (232405+sqrt(71216963807))/348378 is A010889.

%C Agrees with A060997 for n < 14, with A177270 for n < 13, with A177034 for n < 11, with A177160 for n < 9.

%H Paolo Xausa, <a href="/A177933/b177933.txt">Table of n, a(n) for n = 1..10000</a>

%e (232405+sqrt(71216963807))/348378 = 1.43312742672229113069...

%t First[RealDigits[(232405+Sqrt[71216963807])/348378,10,120]] (* _Paolo Xausa_, Jan 09 2024 *)

%Y Cf. A177934 (decimal expansion of sqrt(71216963807)), A010889 (repeat 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A060997 (decimal representation of continued fraction 1, 2, 3, 4, 5, 6, 7, ...), A177270 (decimal expansion of (684125+sqrt(635918528029))/1033802), A177034 (decimal expansion of (9280+3*sqrt(13493990))/14165), A177160 (decimal expansion of (4502+sqrt(29964677))/6961).

%K cons,nonn

%O 1,2

%A _Klaus Brockhaus_, May 15 2010