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

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..5000

Example

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

Mathematica

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

Crossrefs

Cf. A007908, A030167, A052119, A264934.

Sequence in context: A228584 A021056 A132719 * A182497 A199281 A291363

Adjacent sequences: A293574 A293575 A293576 * A293578 A293579 A293580

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Oct 12 2017

Extensions

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

Status

approved