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 1-2 of 2 results.

A195138 First digit to appear n times in the decimal expansion of e.

Original entry on oeis.org

2, 2, 8, 8, 2, 2, 2, 2, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 3, 9, 9, 2, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9
Offset: 1

Views

Author

Omar E. Pol, Oct 22 2011

Keywords

Comments

The digits 0 and 5 do not appear among the first 30000 terms. When do they first appear? - Jianing Song, Apr 01 2021

Examples

			From _Michael De Vlieger_, Sep 10 2017: (Start)
a(n) is the first decimal digit of e that first appears n times when e is expanded to the -m place:
   n  a(n)  m
   1   2    0
   2   2    4
   3   8    7
   4   8    9
   5   2   22
   6   2   30
   7   2   33
   8   2   40
   9   9   58
  10   7   63
  11   7   64
  12   7   68
  13   7   78
  14   7   83
  15   7   89
  16   7   99
(End)
		

Crossrefs

Programs

  • Mathematica
    With[{e = First@ RealDigits[N[E, 10^4]]}, Function[t, -1 + Map[FirstPosition[t, #] &, Range@ Max@ t][[All, -1]]]@ Table[BinCounts[Take[e, n], {0, 10, 1}], {n, 10^3}]] (* Michael De Vlieger, Sep 10 2017 *)

Extensions

More terms from D. S. McNeil, Oct 22 2011

A341430 Leaders in the race of digits of Catalan's constant.

Original entry on oeis.org

0, 9, 5, 9, 5, 1, 9, 1, 7, 9, 7, 0, 7, 9, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 6, 9, 6, 9, 8, 9, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9
Offset: 1

Views

Author

Omar E. Pol, Feb 11 2021

Keywords

Comments

Next term which is different from earlier in A341438.

Examples

			The decimal expansion of Catalan's constant = 0.9159655941772190150546... starts with 0 (see A006752) hence the first leader in the race of digits is 0, so a(1) = 0.
After five stages the new leader is 9 because the number 9 appears twice and the earlier leader appears once, so a(2) = 9.
After eight stages the new leader is 5 because the number 5 appears three times and the earlier leader appears twice, so a(3) = 5.
		

Crossrefs

Extensions

More terms from Seungmin Kim added by Max Z. Scialabba, Dec 20 2023
Showing 1-2 of 2 results.