A195138 -id:A195138 - 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

A195139 First digit to appear n times in the decimal expansion of the golden ratio phi.

Original entry on oeis.org

1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 6, 2, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 2, 2

Offset: 1

Omar E. Pol, Oct 22 2011

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Cf. A001622, A096567, A195138, A194141.

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

A195844 Leaders in the race of digits of e.

Original entry on oeis.org

2, 8, 2, 9, 7, 2, 3, 9, 2, 7, 4, 7, 9, 3, 9, 3, 9, 3, 9, 3, 9, 2, 6, 7, 3, 9, 3, 7, 6, 7, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6

Offset: 1

Omar E. Pol, Oct 22 2011

Next term which is different from earlier in A195138.

			The decimal expansion of e = 2.7182818284590452353602... starts with 2 (see A001113) hence the first leader in the race of digits is 2, so a(1) = 2. After 8 stages the new leader is 8 because the number 8 appears three times and the earlier leader appears twice, so a(2) = 8. After 23 stages the new leader is 2 because the number 2 appears five times and the earlier leader appears four times, so a(3) = 2.

Ruediger Jehn, Table of n, a(n) for n = 1..1260

Cf. A001113, A195138, A195835, A195845, A195846, A195847.

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

A195141 First digit to appear n times in the decimal expansion of square root of 2.

Original entry on oeis.org

1, 1, 1, 1, 8, 8, 8, 8, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 5, 5, 0, 0

Offset: 1

Omar E. Pol, Oct 22 2011

Cf. A002193, A096567, A195138, A195139.

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

A277270 First 2-digit number to appear n times in the decimal expansion of e.

Original entry on oeis.org

27, 18, 28, 35, 66, 66, 66, 74, 7, 74, 74, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 25, 25, 25, 25, 44, 25, 44, 44, 44, 44, 96, 96, 63, 63, 25, 96, 25, 96, 63, 63, 63, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36

Offset: 1

Bobby Jacobs, Nov 05 2016

a(9) is the 2-digit number 07.

			a(2) = 18 because 18 is the first 2-digit number to appear 2 times in the decimal expansion of e = 2.7(18)28(18)...

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

Cf. A001113, A195138, A276992, A290643, A290644.

A280811 First digit to appear n times in the decimal expansion of the Euler-Mascheroni constant gamma.

Original entry on oeis.org

0, 7, 5, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7

Offset: 1

Bobby Jacobs, Jan 08 2017

If the 0 before the decimal point is not counted, then a(1) = 5, a(10) = 6, and a(18) = 4.

			a(3) = 5 because 5 is the first digit to appear 3 times in the decimal expansion of gamma = 0.(5)7721(5)664901(5)...

Cf. A001620, A096567, A195138, A195139, A195141, A195847.

A290643 First 3-digit number to appear n times in the decimal expansion of e.

Original entry on oeis.org

271, 182, 75, 499, 793, 320, 320, 23, 23, 23, 23, 23, 23, 23, 23, 709, 709, 709, 709, 709, 171, 171, 171, 171, 171, 171, 171, 171, 171, 166, 166, 166, 93, 772, 772, 232, 232, 232, 232, 232, 772, 772, 772, 772, 772, 772, 772, 772, 772, 772, 772, 772, 772, 772, 772, 772, 772, 772, 772, 772

Offset: 1

Bobby Jacobs, Aug 08 2017

Some of the numbers start with 0. For example, a(3) is the 3-digit number 075.

			a(2) = 182 because 182 is the first 3-digit number to appear 2 times in the decimal expansion of e = 2.7(182)8(182)...

Cf. A001113, A195138, A276993, A277270, A290644.

A290644 First 4-digit number to appear n times in the decimal expansion of e.

Original entry on oeis.org

2718, 1828, 8793, 8793, 7093, 7093, 7093, 7093, 7093, 7093, 7093, 7093, 7093, 7093, 352, 352, 235, 235, 235, 352, 352, 352, 352, 352, 352, 1661, 352, 352, 352, 352, 352, 1891, 1891, 1891, 1891, 1891, 1891, 352, 3917, 3917, 3917, 3917, 3917, 3917, 3917, 5065, 8149, 8149, 8149, 8149

Offset: 1

Bobby Jacobs, Aug 08 2017

Some of the numbers start with 0. For example, a(15) is the 4-digit number 0352.

The first two appearances of a(2) = 1828 appear consecutively as 18281828.

			a(2) = 1828 because 1828 is the first 4-digit number to appear 2 times in the decimal expansion of e = 2.7(1828)(1828)...

Cf. A001113, A195138, A276686, A277270, A290643.

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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A195139 First digit to appear n times in the decimal expansion of the golden ratio phi.

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A195844 Leaders in the race of digits of e.

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A195141 First digit to appear n times in the decimal expansion of square root of 2.

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A277270 First 2-digit number to appear n times in the decimal expansion of e.

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A280811 First digit to appear n times in the decimal expansion of the Euler-Mascheroni constant gamma.

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A290643 First 3-digit number to appear n times in the decimal expansion of e.

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A290644 First 4-digit number to appear n times in the decimal expansion of e.

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

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