A224836 First occurrence of n consecutive n's in the decimal expansion of Khinchin's constant.

9, 42, 1799, 494, 5760

Offset

1,1

Comments

Earls sequence for Khinchin.

Links

Table of n, a(n) for n=1..5.

Eric Weisstein's World of Mathematics, Earls Sequence

Eric Weisstein's World of Mathematics, Khinchin's Constant Digits

Example

1 first occurs at position 9 after the decimal point.
22 first occurs starting at position 42.
333 first occurs starting at position 1799.

Mathematica

With[{k=RealDigits[Khinchin, 10, 6000][[1]]}, Flatten[Table[ SequencePosition[ k, PadRight[{}, n, n], 1][[All, 1]], {n, 5}]]]-1 (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Feb 17 2020 *)

Crossrefs

Cf. A002210 (decimal expansion of Khinchin's constant).

Sequence in context: A074443 A221425 A007227 * A195975 A185918 A116015

Adjacent sequences: A224833 A224834 A224835 * A224837 A224838 A224839

Keyword

nonn,base,hard,more

Author

Eric W. Weisstein, Jul 21 2013

Status

approved