A330305 Decimal expansion of simple continued fraction transform of golden ratio.

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

Offset

1,3

Comments

Decimal expansion of 1+1/(6+1/(1+1/(8+1/(...)))).

Links

Table of n, a(n) for n=1..105.

Example

1.14453286514339078255387896629437609713997399753057764689245626533862191268948...

Mathematica

RealDigits[N[FromContinuedFraction[RealDigits[GoldenRatio, 10, 1000][[1]]], 120]][[1]] (* Vaclav Kotesovec, Dec 23 2019 *)

Crossrefs

Cf. A001622 (golden ratio).

Sequence in context: A092171 A179778 A307983 * A011333 A283268 A016709

Adjacent sequences: A330302 A330303 A330304 * A330306 A330307 A330308

Keyword

nonn,cons,base

Author

Matthew Niemiro, Dec 13 2019

Extensions

More digits from Vaclav Kotesovec, Dec 23 2019

Status

approved