1,2
Sequence with a(1) = 2 is decimal expansion of sqrt(5 + sqrt(5 + sqrt(5 + sqrt(5 + ... )))) - A222134.
Table of n, a(n) for n=1..101.
Closed form: (sqrt(21) - 1)/2 = A090458-2 = A107905-3 = A222134-1.
sqrt(5 - sqrt(5 - sqrt(5 - sqrt(5 - ... )))) + 1 = sqrt(5 + sqrt(5 + sqrt(5 + sqrt(5 + ... )))). See A222134.
1.791287847477920003294023596864...
RealDigits[(Sqrt[21] - 1)/2, 10, 130]
Cf. A090458, A107905, A222134.
Sequence in context: A120670 A175638 A091900 * A086318 A244674 A130834
Adjacent sequences: A222132 A222133 A222134 * A222136 A222137 A222138
nonn,cons
Jaroslav Krizek, Feb 08 2013
approved