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A222134 Decimal expansion of sqrt(5 + sqrt(5 + sqrt(5 + sqrt(5 + ... )))). 3
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: A198322 A081999 A252661 * A011355 A240961 A198122

Adjacent sequences:  A222131 A222132 A222133 * A222135 A222136 A222137

KEYWORD

nonn,cons

AUTHOR

Jaroslav Krizek, Feb 08 2013

STATUS

approved

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Last modified December 10 19:22 EST 2016. Contains 279006 sequences.