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 A222132 Decimal expansion of sqrt(4 + sqrt(4 + sqrt(4 + sqrt(4 + ... )))). 5
 2, 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 1,1 COMMENTS Sequence with a(1) = 1 is decimal expansion of sqrt(4 - sqrt(4 - sqrt(4 - sqrt(4 - ... )))) - A222133. LINKS FORMULA Closed form: (sqrt(17) + 1)/2 = A178255-1 = A082486-2. sqrt(4 + sqrt(4 + sqrt(4 + sqrt(4 + ... )))) - 1 = sqrt(4 - sqrt(4 - sqrt(4 - sqrt(4 - ... )))). See A222133. EXAMPLE 2.561552812808830274910704... MATHEMATICA RealDigits[(1 + Sqrt[17])/2, 10, 130] CROSSREFS Cf. A222133, A178255, A082486. Sequence in context: A086038 A200136 A134387 * A318388 A145058 A103130 Adjacent sequences:  A222129 A222130 A222131 * A222133 A222134 A222135 KEYWORD nonn,cons AUTHOR Jaroslav Krizek, Feb 08 2013 STATUS approved

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Last modified January 25 19:09 EST 2020. Contains 331249 sequences. (Running on oeis4.)