Paolo Xausa, <a href="/A177933/b177933_1.txt">Table of n, a(n) for n = 1..10000</a>

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Paolo Xausa, <a href="/A177933/b177933_1.txt">Table of n, a(n) for n = 1..10000</a>

First[RealDigits[(232405+Sqrt[71216963807])/348378, 10, 120]] (* Paolo Xausa, Jan 09 2024 *)

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_Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), _, May 15 2010

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

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, 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, 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

1,2

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

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

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

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).

cons,nonn,new

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 15 2010

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