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A176398 Decimal expansion of 3+sqrt(10). 8
6, 1, 6, 2, 2, 7, 7, 6, 6, 0, 1, 6, 8, 3, 7, 9, 3, 3, 1, 9, 9, 8, 8, 9, 3, 5, 4, 4, 4, 3, 2, 7, 1, 8, 5, 3, 3, 7, 1, 9, 5, 5, 5, 1, 3, 9, 3, 2, 5, 2, 1, 6, 8, 2, 6, 8, 5, 7, 5, 0, 4, 8, 5, 2, 7, 9, 2, 5, 9, 4, 4, 3, 8, 6, 3, 9, 2, 3, 8, 2, 2, 1, 3, 4, 4, 2, 4, 8, 1, 0, 8, 3, 7, 9, 3, 0, 0, 2, 9, 5, 1, 8, 7, 3, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Continued fraction expansion of 3+sqrt(10) is A010722.

This is the shape of a 6-extension rectangle; see A188640 for definitions.  - Clark Kimberling, Apr 09 2011

LINKS

Table of n, a(n) for n=1..105.

Wikipedia, Metallic mean

FORMULA

a(n) = A010467(n) for n >= 2.

Equals exp(arcsinh(3)), since arcsinh(x) = log(x+sqrt(x^2+1)). - Stanislav Sykora, Nov 01 2013

EXAMPLE

6.16227766016837933199...

MAPLE

Digits:=100; evalf(3+sqrt(10)); # Wesley Ivan Hurt, Mar 07 2014

MATHEMATICA

r=6; t=(r+(4+r^2)^(1/2))/2; RealDigits[N[t, 130]][[1]] (* Clark Kimberling, Apr 09 2011 *)

PROG

(PARI) 3+sqrt(10) \\ Charles R Greathouse IV, Jul 24 2013

CROSSREFS

Cf. A010467 (decimal expansion of sqrt(10)), A010722 (all 6's sequence).

Sequence in context: A109918 A263494 A096956 * A078300 A318478 A221210

Adjacent sequences:  A176395 A176396 A176397 * A176399 A176400 A176401

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, Apr 16 2010

STATUS

approved

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Last modified December 16 06:19 EST 2018. Contains 318158 sequences. (Running on oeis4.)