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Decimal expansion of 3 + sqrt(15).
11

%I #26 Mar 19 2024 08:29:43

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

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

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

%N Decimal expansion of 3 + sqrt(15).

%C Equals n +n/(n +n/(n +n/(n +....))) for n = 6. See also A090388. - _Stanislav Sykora_, Jan 23 2014

%H G. C. Greubel, <a href="/A092294/b092294.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>

%F Equals A010472 plus 3. - _R. J. Mathar_, Sep 08 2008

%F Equals 1/A176016 + 6. - _Hugo Pfoertner_, Mar 19 2024

%e 6.87298334620741688...

%t RealDigits[3+Sqrt[15],10,120][[1]] (* _Harvey P. Dale_, Aug 29 2012 *)

%o (PARI) sqrt(15)+3 \\ _Charles R Greathouse IV_, Apr 25 2016

%Y Cf. n+n/(n+n/(n+...)): A090388 (n=2), A090458 (n=3), A090488 (n=4), A090550 (n=5), A092290 (n=7), A090654 (n=8), A090655 (n=9), A090656 (n=10). - _Stanislav Sykora_, Jan 23 2014

%K easy,nonn,cons

%O 1,1

%A _Felix Tubiana_, Feb 05 2004