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

Author

Matthew Niemiro, Dec 13 2019

Keywords

• nonn
• cons
• base

Comments

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

Examples

			1.14453286514339078255387896629437609713997399753057764689245626533862191268948...
		

Crossrefs

Cf. A001622 (golden ratio).

Programs

Mathematica

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

Extensions

More digits from Vaclav Kotesovec, Dec 23 2019