A280811 -id:A280811 - cp's OEIS frontend

A096567 First digit to appear n times in the base-10 expansion of Pi.

3, 1, 5, 3, 3, 3, 3, 3, 3, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8, 2, 2, 8, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset: 1

Matthew Vandermast, Jun 26 2004

The number 7 finally appears as a(32344). - T. D. Noe, Sep 13 2012

The number 6 appears for the first time as a(99032274). - Kester Habermann, Feb 01 2021

			a(3) = 5 because 5 is the first digit to appear 3 times in the decimal expansion of Pi = 3.141(5)926(5)3(5)... - _Bobby Jacobs_, Aug 30 2017

Jianing Song, Table of n, a(n) for n = 1..32373 (added to include the first occurrences of 0 and 7, first 10000 terms from T. D. Noe)

Cf. A000796, A014976, A053745-A053753, A096566.
Cf. A195138, A195139, A195141, A280811.
Cf. A276686, A276992, A276993, A277171, A291599, A291600.

nn = 1000; t = {}; d = RealDigits[Pi, 10, nn][[1]]; dCnt = Table[0, {10}]; cnt = 1; Do[b = ++dCnt[[1 + d[[n]]]]; If[b == cnt, AppendTo[t, d[[n]]]; cnt++], {n, nn}]; t (* T. D. Noe, Sep 13 2012 *)

More terms from David Wasserman, Nov 16 2007

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

Omar E. Pol, Oct 22 2011

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

			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)

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

Cf. A001113, A195844, A277270, A290643, A290644.

Cf. A096567, A195139, A195141, A280811, A341438.

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 *)

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

A195847 Leaders in the race of digits of Euler's constant (or Euler-Mascheroni constant) gamma.

Original entry on oeis.org

0, 7, 5, 6, 0, 6, 0, 4, 3, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 8, 0, 8, 7, 0, 8, 0, 8, 0, 8, 0, 8, 7, 4, 7, 4, 9, 4, 8, 4, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5

Offset: 1

Omar E. Pol, Oct 22 2011

This is A280811 with repeats removed. - Bobby Jacobs, Jan 12 2017

			The decimal expansion of gamma = 0.5772156649015... starts with 0 hence the first leader in the race of digits is 0, so a(1) = 0.
After four stages the new leader is 7 because the number 7 appears twice and the earlier leader appears once, so a(2) = 7.
After 14 stages the new leader is 5 because the number 5 appears three times and the earlier leader appears twice, so a(3) = 5.

Cf. A001620, A195835, A195844, A195845, A195846, A280811.

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

A341438 First digit to appear n times in the decimal expansion of Catalan's constant.

Original entry on oeis.org

0, 9, 5, 9, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 7, 0, 0, 7, 9, 9, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7

Offset: 1

Omar E. Pol, Feb 11 2021

Cf. A006752, A096567, A195138, A195139, A195141, A280811, A341430.

More digits from Alois P. Heinz, Mar 16 2021

cp's OEIS Frontend

A096567 First digit to appear n times in the base-10 expansion of Pi.

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

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A195847 Leaders in the race of digits of Euler's constant (or Euler-Mascheroni constant) gamma.

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A341438 First digit to appear n times in the decimal expansion of Catalan's constant.

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