A092294 Decimal expansion of 3 + sqrt(15).

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, 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, 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

Offset: 1

Author

Felix Tubiana, Feb 05 2004

Keywords

• easy
• nonn
• cons

Comments

Equals n +n/(n +n/(n +n/(n +....))) for n = 6. See also A090388. - Stanislav Sykora, Jan 23 2014

Examples

			6.87298334620741688...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000
• Index entries for algebraic numbers, degree 2

Crossrefs

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

Programs

Mathematica

RealDigits[3+Sqrt[15],10,120][[1]] (* Harvey P. Dale, Aug 29 2012 *)

PARI

sqrt(15)+3 \\ Charles R Greathouse IV, Apr 25 2016

Formula

Equals A010472 plus 3. - R. J. Mathar, Sep 08 2008

Equals 1/A176016 + 6. - Hugo Pfoertner, Mar 19 2024