A347052 Decimal expansion of the continued fraction 1/(1*2 + 1/(2*3 + 1/(3*4 + 1/(4*5 + 1/(5*6 + ...))))).

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

Offset

0,1

Links

Table of n, a(n) for n=0..105.

Formula

Equals lim_{n -> oo} A346960(n)/A347051(n).

Example

0.46202332508023861850355914941757191597703...

Mathematica

terms=106; RealDigits[ContinuedFractionK[k(k+1), {k, terms}], 10, terms][[1]] (* Stefano Spezia, Aug 23 2025 *)

Crossrefs

Cf. A002378, A052119, A073823, A073824, A346960, A347051.

Sequence in context: A158391 A379778 A016491 * A375366 A387235 A373635

Adjacent sequences: A347049 A347050 A347051 * A347053 A347054 A347055

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Aug 13 2021

Status

approved