A323036 Let k be the decimal string formed by the first n digits of Pi after the decimal point; a(n) is the position where the second occurrence of k begins.

3, 103, 295, 6955, 6955, 821582, 1457055, 191525093, 570434346, 10685448370, 166717504076, 329466468458

Offset

1,1

Comments

By definition, k occurs at digit place 1 in the decimal expansion of Pi. This sequence returns the digit place of the next occurrence of k. The first 1000 billion digits of Pi where scanned to find the 3 additional terms.

Links

Table of n, a(n) for n=1..12.

Peter Treub, 1000 billion digits of Pi, at Archive.org site. [Simon Plouffe, Jan 04 2019]

Example

The decimal expansion of Pi begins: 3.1415926535897932384626433832795... .
The second occurrence of 1 is at the third position, so a(1) = 3.
The second occurrence of 14 is at position 103, so a(2) = 103.
The second occurrence of 141 is at position 295, so a(3) = 295.

Crossrefs

Cf. A000796.

Sequence in context: A157600 A139908 A128070 * A101780 A197632 A280177

Adjacent sequences: A323033 A323034 A323035 * A323037 A323038 A323039

Keyword

nonn,base,more

Author

Paul S Cuckoo, Jan 02 2019

Extensions

a(10)-a(12) from Simon Plouffe, Jan 04 2018

Status

approved