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A222133 Decimal expansion of sqrt(4 - sqrt(4 - sqrt(4 - sqrt(4 - ... )))). 1
1, 5, 6, 1, 5, 5, 2, 8, 1, 2, 8, 0, 8, 8, 3, 0, 2, 7, 4, 9, 1, 0, 7, 0, 4, 9, 2, 7, 9, 8, 7, 0, 3, 8, 5, 1, 2, 5, 7, 3, 5, 9, 9, 6, 1, 2, 6, 8, 6, 8, 1, 0, 2, 1, 7, 1, 9, 9, 3, 1, 6, 7, 8, 6, 5, 4, 7, 4, 7, 7, 1, 7, 3, 1, 6, 8, 8, 1, 0, 7, 9, 6, 7, 9, 3, 9, 3, 1, 8, 2, 5, 4, 0, 5, 3, 4, 2, 1, 4, 8, 3, 4, 2, 2, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Sequence with a(1) = 2 is decimal expansion of sqrt(4 + sqrt(4 + sqrt(4 + sqrt(4 + ... )))) - A222132.

LINKS

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

FORMULA

Closed form: (sqrt(17) - 1)/2 = A178255-2 = A082486-3 = A222132-1.

sqrt(4 - sqrt(4 - sqrt(4 - sqrt(4 - ... )))) + 1 = sqrt(4 + sqrt(4 + sqrt(4 + sqrt(4 + ... )))). See A222132.

EXAMPLE

1.561552812808830274910704...

MATHEMATICA

RealDigits[(Sqrt[17] - 1)/2, 10, 130]

CROSSREFS

Cf. A178255, A082486, A222132.

Sequence in context: A080130 A188640 A198419 * A198728 A238135 A195449

Adjacent sequences:  A222130 A222131 A222132 * A222134 A222135 A222136

KEYWORD

nonn,cons

AUTHOR

Jaroslav Krizek, Feb 08 2013

STATUS

approved

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Last modified December 9 16:26 EST 2016. Contains 278985 sequences.