A176322 - OEIS

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A176322

Decimal expansion of sqrt(1365).

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

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OFFSET

2,1

COMMENTS

Continued fraction expansion of sqrt(1365) is (repeat 1, 17, 2, 17, 1, 72) preceded by 36.

LINKS

G. C. Greubel, Table of n, a(n) for n = 2..1001

FORMULA

Equals sqrt(3)*sqrt(5)*sqrt(7)*sqrt(13).

EXAMPLE

36.94590640382233199163...

MAPLE

evalf( sqrt(1365), 120); # G. C. Greubel, Nov 26 2019

MATHEMATICA

RealDigits[Sqrt[1365], 10, 120][[1]] (* Harvey P. Dale, Oct 09 2017 *)

PROG

(PARI) default(realprecision, 120); sqrt(1365) \\ G. C. Greubel, Nov 26 2019

(Magma) SetDefaultRealField(RealField(120)); Sqrt(1365); // G. C. Greubel, Nov 26 2019

(Sage) numerical_approx(sqrt(1365), digits=120) # G. C. Greubel, Nov 26 2019

CROSSREFS

Cf. A002194 (sqrt(3)), A002163 (sqrt(5)), A010465 (sqrt(7)), A010470 (sqrt(13)).

Cf. A176321 ((35+sqrt(1365))/14).

Sequence in context: A271742 A195771 A086276 * A300714 A020850 A163341

Adjacent sequences: A176319 A176320 A176321 * A176323 A176324 A176325

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, Apr 15 2010

STATUS

approved