cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-5 of 5 results.

A375789 First position index for A197123(n) in the decimal expansion of Pi.

Original entry on oeis.org

1, 6, 4, 50, 397, 496, 4167, 15052, 30627, 182105, 550497, 447673, 3143598, 4821309, 19552188, 67889102, 109303021, 378355224
Offset: 1

Views

Author

DarĂ­o Clavijo, Aug 28 2024

Keywords

Comments

Positions in the digits of Pi are numbered starting from 0 for the initial "3".

Examples

			For n=3, the first string of 3 digits to repeat in Pi is A197123(3) = 592 and it had first occurred at position a(3) = 4,
  Pi = 3.141592 ... 592...
            ^       ^
  position  4       61
		

Crossrefs

Extensions

a(11)-a(18) from Michael S. Branicky, Sep 04 2024

A291600 First 10-digit number to appear n times in the decimal expansion of Pi.

Original entry on oeis.org

3141592653, 4392366484, 9526413073, 7454969632, 1459184231, 3955267283
Offset: 1

Views

Author

Bobby Jacobs, Aug 27 2017

Keywords

Comments

This sequence was mentioned in a forum post called "Ten repeating numbers in Pi". It was about finding a 10-digit number that repeated in Pi. The answer was a(2) = A197123(10) = 4392366484.

Examples

			a(2) = 4392366484 because 4392366484 is the first 10-digit number to appear 2 times in the decimal expansion of Pi.
		

Crossrefs

Extensions

a(5)-a(6) from Michael S. Branicky, Sep 04 2024

A159345 a(n) is the number of digits in the decimal expansion of Pi needed to contain a repeated n-digit substring.

Original entry on oeis.org

3, 22, 63, 135, 555, 1301, 4607, 15441, 33852, 240488, 694409, 857993, 5563724, 9289707, 28048931, 129440103, 262527982, 1982424660, 8858170624, 17601613331
Offset: 1

Views

Author

Peter de Rivaz, Oct 15 2011

Keywords

Examples

			We need 3 digits (141) to find the first digit to repeat (the repeated digit is 1).
We need 22 digits (1415926535897932384626) to find the first 2 digit repeat (the repeated 2-digit substring is 26).
		

Crossrefs

Cf. A000796 (Pi), A197123 (the repeated substring).

Extensions

a(20) from Jeff Sponaugle, Aug 13 2024

A279860 a(n) is the first n-digit substring to repeat in the decimal expansion of e.

Original entry on oeis.org

2, 18, 182, 1828, 98793, 987931, 4349076, 82549802, 450388721, 5291493974, 72883660263, 476539957100, 2557556217677, 45820090256930, 441340408673681, 4413404086736815, 4490816865108378, 44908168651083787, 3369635849169468729, 29845348176416445308, 561387588857094780748, 8238609087161769234440
Offset: 1

Views

Author

Bobby Jacobs, Dec 20 2016

Keywords

Comments

The first two occurrences of a(4) = 1828 appear consecutively as 18281828.

Examples

			a(2) = 18 because 18 is the first 2-digit number to repeat in the decimal expansion of e = 2.7(18)28(18)...
2 appears at positions 0 and 4.
18 appears at positions 2 and 6.
182 appears at positions 2 and 6.
1828 appears at positions 2 and 6.
98793 appears at positions 478 and 494.
987931 appears at positions 478 and 494.
4349076 appears at positions 170 and 2731.
...
		

Crossrefs

Extensions

a(8)-a(12) from Alois P. Heinz, Dec 21 2016
a(13)-a(22) from Dominik Winecki, Apr 07 2025

A331881 a(n) is the first n-digit substring to occur n times in the decimal expansion of the fractional part of Pi.

Original entry on oeis.org

1, 26, 446, 2796, 86538, 872117, 1591292, 66416662
Offset: 1

Views

Author

Stijn Dierckx, Jan 30 2020

Keywords

Examples

			a(1) = 1, because '1' is the first 1-digit string appearing 1 time (at position 1);
a(2) = 26, because '26' is the first 2-digit string appearing 2 times (at positions 6 and 21);
a(3) =  446, because '446' is the first 3-digit string appearing 3 times (at positions 125, 182 and 217);
and so on.
		

Crossrefs

Cf. A331882 (the number of digits needed to find the repeated n-digit strings).
Showing 1-5 of 5 results.