A296140 Decimal expansion of 1/sqrt(1 + 1/sqrt(2 + 1/sqrt(3 + 1/sqrt(4 + 1/sqrt(5 + ...))))).

7, 8, 3, 7, 6, 6, 3, 0, 9, 2, 3, 6, 3, 9, 6, 4, 6, 9, 9, 5, 1, 9, 4, 3, 0, 7, 7, 6, 3, 8, 7, 4, 2, 8, 1, 2, 7, 0, 4, 1, 4, 1, 1, 8, 0, 7, 7, 3, 8, 7, 7, 4, 7, 5, 5, 8, 9, 6, 6, 0, 7, 6, 0, 5, 7, 5, 2, 6, 6, 5, 3, 9, 7, 7, 4, 0, 1, 4, 0, 9, 4, 7, 5, 4, 4, 3, 5, 1, 6, 4, 2, 9, 4, 7, 1, 9, 9, 6, 1, 2

Offset

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Continued Fraction Constants

Eric Weisstein's World of Mathematics, Nested Radical Constant

Example

0.7837663092363964699519430776387428127041411807738774755...

Mathematica

RealDigits[Fold[1/Sqrt[#1 + #2]&, 0, Range[100, 1, -1]], 10, 100][[1]] (* Jean-François Alcover, Dec 19 2017 *)

Crossrefs

Cf. A052119, A060006, A072449.

Sequence in context: A241296 A083648 A133613 * A194622 A193010 A079082

Adjacent sequences: A296137 A296138 A296139 * A296141 A296142 A296143

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Dec 05 2017

Status

approved