A293577 Decimal expansion of number with continued fraction expansion 0, 1, 12, 123, 1234, 12345, 123456, ... (A007908).

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

Offset: 0

Author

Ilya Gutkovskiy, Oct 12 2017

Keywords

• nonn
• cons

Examples

			0.92312499968345024117401233060984219166367488... = 1/(1 + 1/(12 + 1/(123 + 1/(1234 + 1/(12345 + 1/(123456 + 1/...)))))).
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..5000 [a(5000) corrected by _Georg Fischer_, Apr 02 2025]

Crossrefs

Cf. A007908, A030167, A052119, A264934.

Programs

Mathematica

Take[RealDigits[N[FromContinuedFraction[Table[FromDigits[Flatten[IntegerDigits[Range[n]]]], {n, 0, 20}]], 101]][[1]], 100]  (* modified by Ilya Gutkovskiy, Nov 08 2017 *)

Extensions

a(99) corrected by G. C. Greubel, Nov 07 2017