A277140 Earliest substring of the decimal expansion of Pi containing any of the 10 decimal digits at least once and disjoint from all earlier such substrings.

314159265358979323846264338327950, 288419716939937510, 5820974944592307816, 406286208998628034825342117, 67982148086513, 282306647093844609550582231, 7253594081284811174502841027019385211055596, 4462294895493038196442881097, 566593344612847564823378678316527120, 1909145648566923460348610454326648213393607

Offset

1,1

Comments

Substrings can start with 0. For example, a(5) = 067982148086513.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Example

The first substring of Pi containing all 10 digits is 314159265358979323846264338327950.
The next substring of Pi is 288419716939937510.
The next substring of Pi is 5820974944592307816.
The next substring of Pi is 406286208998628034825342117.

Mathematica

pi = RealDigits[Pi, 10, 300][[1]]; f := Block[{k = 10}, While[ Union[ Take[pi, k]] != Range[0, 9], k++]; a = Take[pi, k]; pi = Drop[pi, k]; FromDigits@ a]; lst = {}; Do[ AppendTo[lst, f], {10}]; lst (* Robert G. Wilson v, Nov 17 2016 *)

Crossrefs

Cf. A000796, A104781, A109407, A277135.

Sequence in context: A095458 A338980 A338964 * A083104 A115531 A095460

Adjacent sequences: A277137 A277138 A277139 * A277141 A277142 A277143

Keyword

nonn,base,less

Author

Bobby Jacobs, Oct 01 2016

Extensions

Definition clarified by Felix Fröhlich, Oct 30 2016

Status

approved