A296140 - OEIS

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

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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