login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A222134 Decimal expansion of sqrt(5 + sqrt(5 + sqrt(5 + sqrt(5 + ... )))). 2
2, 7, 9, 1, 2, 8, 7, 8, 4, 7, 4, 7, 7, 9, 2, 0, 0, 0, 3, 2, 9, 4, 0, 2, 3, 5, 9, 6, 8, 6, 4, 0, 0, 4, 2, 4, 4, 4, 9, 2, 2, 2, 8, 2, 8, 8, 3, 8, 3, 9, 8, 5, 9, 5, 1, 3, 0, 3, 6, 2, 1, 0, 6, 1, 9, 5, 3, 4, 3, 4, 2, 1, 2, 7, 7, 3, 8, 8, 5, 4, 4, 3, 3, 0, 2, 1, 8, 0, 7, 7, 9, 7, 4, 6, 7, 2, 2, 5, 1, 6, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Sequence with a(1) = 1 is decimal expansion of sqrt(5 - sqrt(5 - sqrt(5 - sqrt(5 - ... )))) - A222135.

LINKS

Table of n, a(n) for n=1..101.

FORMULA

Closed form: (sqrt(21) + 1)/2 = A090458-1 = A107905-2 = A222135+1.

sqrt(5 + sqrt(5 + sqrt(5 + sqrt(5 + ... )))) - 1 = sqrt(5 - sqrt(5 - sqrt(5 - sqrt(5 - ... )))). See A222135.

EXAMPLE

2.791287847477920003294023596864...

MATHEMATICA

RealDigits[(1 + Sqrt[21])/2, 10, 130]

CROSSREFS

Cf. A090458, A107905, A222135.

Sequence in context: A250715 A198322 A081999 * A011355 A240961 A198122

Adjacent sequences:  A222131 A222132 A222133 * A222135 A222136 A222137

KEYWORD

nonn,cons

AUTHOR

Jaroslav Krizek, Feb 08 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 27 16:30 EST 2014. Contains 250240 sequences.