A007524 -id:A007524 - cp's OEIS frontend

A154580 Decimal expansion of log_10 (15).

1, 1, 7, 6, 0, 9, 1, 2, 5, 9, 0, 5, 5, 6, 8, 1, 2, 4, 2, 0, 8, 1, 2, 8, 9, 0, 0, 8, 5, 3, 0, 6, 2, 2, 2, 8, 2, 4, 3, 1, 9, 3, 8, 9, 8, 2, 7, 2, 8, 5, 8, 7, 3, 2, 3, 5, 1, 9, 4, 3, 8, 1, 7, 9, 1, 7, 8, 1, 2, 0, 9, 6, 3, 5, 0, 9, 2, 3, 6, 6, 1, 3, 5, 5, 6, 0, 4, 1, 1, 0, 3, 5, 2, 9, 4, 3, 0, 1, 2

Offset: 1

N. J. A. Sloane, Oct 30 2009

			1.1760912590556812420812890085306222824319389827285873235194...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_10(m): A007524 (m=2), A114490 (m=3), A114493 (m=4), A153268 (m=5), A153496 (m=6), A153620 (m=7), A153790 (m=8), A104139 (m=9), A154182 (m=11), A154203 (m=12), A154368 (m=13), A154478 (m=14), this sequence, A154794 (m=16), A154860 (m=17), A154953 (m=18), A155062 (m=19), A155522 (m=20), A155677 (m=21), A155746 (m=22), A155830 (m=23), A155979 (m=24).

RealDigits[Log[10, 15], 10, 100][[1]] (* Vincenzo Librandi, Sep 11 2013 *)

log(15)/log(10) \\ Charles R Greathouse IV, Mar 17 2018

Equals A016638 / A002392 = (1+A152914)/(1+A152675). - R. J. Mathar, Jul 29 2024

A114490 Decimal expansion of log_10(3).

Original entry on oeis.org

4, 7, 7, 1, 2, 1, 2, 5, 4, 7, 1, 9, 6, 6, 2, 4, 3, 7, 2, 9, 5, 0, 2, 7, 9, 0, 3, 2, 5, 5, 1, 1, 5, 3, 0, 9, 2, 0, 0, 1, 2, 8, 8, 6, 4, 1, 9, 0, 6, 9, 5, 8, 6, 4, 8, 2, 9, 8, 6, 5, 6, 4, 0, 3, 0, 5, 2, 2, 9, 1, 5, 2, 7, 8, 3, 6, 6, 1, 1, 2, 3, 0, 4, 2, 9, 6, 8, 3, 5, 5, 6, 4, 7, 6

Offset: 0

Eric W. Weisstein, Dec 01 2005

			0.477121254...

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Eric Weisstein's World of Mathematics, Motzkin Number
Index entries for transcendental numbers

Cf. A114473.

Cf. decimal expansion of log_10(m): A007524 (m=2), this sequence, A114493 (m=4), A153268 (m=5), A153496 (m=6), A153620 (m=7), A153790 (m=8), A104139 (m=9), A154182 (m=11), A154203 (m=12), A154368 (m=13), A154478 (m=14), A154580 (m=15), A154794 (m=16), A154860 (m=17), A154953 (m=18), A155062 (m=19), A155522 (m=20), A155677 (m=21), A155746 (m=22), A155830 (m=23), A155979 (m=24).

RealDigits[Log[10, 3], 10, 100][[1]] (* Vincenzo Librandi, Sep 10 2013 *)

log(3)/log(10) \\ Michel Marcus, Jan 25 2015

Equals 1/A152566. - R. J. Mathar, Jul 31 2025

A154203 Decimal expansion of log_10 (12).

Original entry on oeis.org

1, 0, 7, 9, 1, 8, 1, 2, 4, 6, 0, 4, 7, 6, 2, 4, 8, 2, 7, 7, 2, 2, 5, 0, 5, 6, 9, 2, 7, 0, 4, 1, 0, 1, 3, 6, 2, 7, 3, 6, 5, 0, 8, 6, 2, 7, 1, 1, 4, 9, 1, 2, 9, 4, 7, 4, 5, 0, 7, 2, 0, 5, 6, 2, 5, 5, 9, 4, 4, 5, 5, 3, 1, 3, 3, 2, 5, 1, 0, 1, 4, 2, 0, 1, 6, 8, 2, 2, 8, 5, 9, 8, 8, 3, 9, 8, 8, 6, 4

Offset: 1

N. J. A. Sloane, Oct 30 2009

			1.0791812460476248277225056927041013627365086271149129474507...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_10(m): A007524 (m=2), A114490 (m=3), A114493 (m=4), A153268 (m=5), A153496 (m=6), A153620 (m=7), A153790 (m=8), A104139 (m=9), A154182 (m=11), this sequence, A154368 (m=13), A154478 (m=14), A154580 (m=15), A154794 (m=16), A154860 (m=17), A154953 (m=18), A155062 (m=19), A155522 (m=20), A155677 (m=21), A155746 (m=22), A155830 (m=23), A155979 (m=24).

RealDigits[Log[10,12],10,100][[1]] (* Vincenzo Librandi,  Sep 11 2013 *)

log(12)/log(10) \\ Charles R Greathouse IV, Aug 04 2020

Equals A007524 + A153596. - R. J. Mathar, Jan 07 2021

A114493 Decimal expansion of log_10(4).

Original entry on oeis.org

6, 0, 2, 0, 5, 9, 9, 9, 1, 3, 2, 7, 9, 6, 2, 3, 9, 0, 4, 2, 7, 4, 7, 7, 7, 8, 9, 4, 4, 8, 9, 8, 6, 0, 5, 3, 5, 3, 6, 3, 7, 9, 7, 6, 2, 9, 2, 4, 2, 1, 7, 0, 8, 2, 6, 2, 0, 8, 5, 4, 9, 2, 2, 2, 5, 4, 2, 1, 6, 3, 7, 8, 5, 4, 8, 8, 4, 9, 0, 1, 8, 9, 7, 3, 8, 5, 4, 5, 0, 4, 2, 3, 6, 3, 7, 2, 3, 4, 4, 0, 8, 1

Offset: 0

Eric W. Weisstein, Dec 01 2005

In engineering (all branches, but particularly electronic and electrical) power and amplitude ratios are measured rigorously in decibels (dB). This constant, with offset 1 (i.e., 6.02... = 10*A114493) is the dB equivalent of a 2:1 amplitude ratio or, equivalently, 4:1 power ratio. - Stanislav Sykora, Dec 11 2013

			0.602059991...

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Eric Weisstein's World of Mathematics, Catalan Number
Eric Weisstein's World of Mathematics, Central Binomial Coefficient
Wikipedia, Decibel
Index entries for transcendental numbers

Cf. A000108, A114466.

Cf. decimal expansion of log_10(m): A007524 (m=2), A114490 (m=3), this sequence, A153268 (m=5), A153496 (m=6), A153620 (m=7), A153790 (m=8), A104139 (m=9), A154182 (m=11), A154203 (m=12), A154368 (m=13), A154478 (m=14), A154580 (m=15), A154794 (m=16), A154860 (m=17), A154953 (m=18), A155062 (m=19), A155522 (m=20), A155677 (m=21), A155746 (m=22), A155830 (m=23), A155979 (m=24).

log10(4.0) ; # R. J. Mathar, Feb 21 2013

RealDigits[Log[10, 4], 10, 100][[1]] (* Vincenzo Librandi, Sep 10 2013 *)

log(4)/log(10) \\ Charles R Greathouse IV, Aug 04 2020

A016627 divided by A002392. Two times A007524. - R. J. Mathar, Feb 21 2013

Equals 1/A154155. - R. J. Mathar, Jul 31 2025

A153620 Decimal expansion of log_10 (7).

Original entry on oeis.org

8, 4, 5, 0, 9, 8, 0, 4, 0, 0, 1, 4, 2, 5, 6, 8, 3, 0, 7, 1, 2, 2, 1, 6, 2, 5, 8, 5, 9, 2, 6, 3, 6, 1, 9, 3, 4, 8, 3, 5, 7, 2, 3, 9, 6, 3, 2, 3, 9, 6, 5, 4, 0, 6, 5, 0, 3, 6, 3, 4, 9, 5, 3, 7, 1, 8, 2, 5, 3, 4, 3, 9, 9, 0, 2, 0, 7, 9, 1, 6, 6, 0, 6, 6, 1, 1, 1, 5, 2, 7, 8, 4, 7, 4, 8, 8, 5, 7, 3

Offset: 0

N. J. A. Sloane, Oct 30 2009

			.84509804001425683071221625859263619348357239632396540650363...

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_10(m): A007524 (m=2), A114490 (m=3), A114493 (m=4), A153268 (m=5), A153496 (m=6), this sequence, A153790 (m=8), A104139 (m=9), A154182 (m=11), A154203 (m=12), A154368 (m=13), A154478 (m=14), A154580 (m=15), A154794 (m=16), A154860 (m=17), A154953 (m=18), A155062 (m=19), A155522 (m=20), A155677 (m=21), A155746 (m=22), A155830 (m=23), A155979 (m=24).

RealDigits[Log[10, 7], 10, 100][[1]] (* Vincenzo Librandi, Sep 10 2013 *)

log(7)/log(10) \\ Charles R Greathouse IV, Aug 04 2020

A153496 Decimal expansion of log_10 (6).

Original entry on oeis.org

7, 7, 8, 1, 5, 1, 2, 5, 0, 3, 8, 3, 6, 4, 3, 6, 3, 2, 5, 0, 8, 7, 6, 6, 7, 9, 7, 9, 7, 9, 6, 0, 8, 3, 3, 5, 9, 6, 8, 3, 1, 8, 7, 4, 5, 6, 5, 2, 8, 0, 4, 4, 0, 6, 1, 4, 0, 2, 9, 3, 1, 0, 1, 4, 3, 2, 3, 3, 7, 3, 4, 2, 0, 5, 8, 0, 8, 5, 6, 3, 2, 5, 2, 9, 8, 9, 5, 6, 0, 7, 7, 6, 5, 8, 0, 2, 4, 7, 3

Offset: 0

N. J. A. Sloane, Oct 30 2009

			.77815125038364363250876679797960833596831874565280440614029...

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_10(m): A007524 (m=2), A114490 (m=3), A114493 (m=4), A153268 (m=5), this sequence, A153620 (m=7), A153790 (m=8), A104139 (m=9), A154182 (m=11), A154203 (m=12), A154368 (m=13), A154478 (m=14), A154580 (m=15), A154794 (m=16), A154860 (m=17), A154953 (m=18), A155062 (m=19), A155522 (m=20), A155677 (m=21), A155746 (m=22), A155830 (m=23), A155979 (m=24).

RealDigits[Log[10, 6], 10, 100][[1]] (* Vincenzo Librandi, Sep 10 2013 *)

log(6)/log(10) \\ Charles R Greathouse IV, Aug 04 2020

Equals 1/A154157. - R. J. Mathar, Jul 31 2025

A154182 Decimal expansion of log_10 (11).

Original entry on oeis.org

1, 0, 4, 1, 3, 9, 2, 6, 8, 5, 1, 5, 8, 2, 2, 5, 0, 4, 0, 7, 5, 0, 1, 9, 9, 9, 7, 1, 2, 4, 3, 0, 2, 4, 2, 4, 1, 7, 0, 6, 7, 0, 2, 1, 9, 0, 4, 6, 6, 4, 5, 3, 0, 9, 4, 5, 9, 6, 5, 3, 9, 0, 1, 8, 6, 7, 9, 7, 5, 3, 0, 3, 2, 2, 3, 3, 2, 4, 9, 3, 4, 7, 5, 7, 1, 2, 9, 4, 7, 8, 6, 3, 8, 5, 7, 3, 1, 1, 7

Offset: 1

N. J. A. Sloane, Oct 30 2009

			1.0413926851582250407501999712430242417067021904664530945965...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_10(m): A007524 (m=2), A114490 (m=3), A114493 (m=4), A153268 (m=5), A153496 (m=6), A153620 (m=7), A153790 (m=8), A104139 (m=9), this sequence, A154203 (m=12), A154368 (m=13), A154478 (m=14), A154580 (m=15), A154794 (m=16), A154860 (m=17), A154953 (m=18), A155062 (m=19), A155522 (m=20), A155677 (m=21), A155746 (m=22), A155830 (m=23), A155979 (m=24).

RealDigits[Log[10, 11], 10, 100][[1]] (* Vincenzo Librandi, Sep 10 2013 *)

log(11)/log(10) \\ Charles R Greathouse IV, Aug 04 2020

A104139 Decimal expansion of log_10(9).

Original entry on oeis.org

9, 5, 4, 2, 4, 2, 5, 0, 9, 4, 3, 9, 3, 2, 4, 8, 7, 4, 5, 9, 0, 0, 5, 5, 8, 0, 6, 5, 1, 0, 2, 3, 0, 6, 1, 8, 4, 0, 0, 2, 5, 7, 7, 2, 8, 3, 8, 1, 3, 9, 1, 7, 2, 9, 6, 5, 9, 7, 3, 1, 2, 8, 0, 6, 1, 0, 4, 5, 8, 3, 0, 5, 5, 6, 7, 3, 2, 2, 2, 4, 6, 0, 8, 5, 9, 3, 6, 7, 1, 1, 2, 9, 5, 2, 3, 2, 6, 0, 3, 0, 2, 0, 9, 2, 9

Offset: 0

Lekraj Beedassy, Mar 07 2005

			log_10(9) = 0.95424250943932487459005580651...

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_10(m): A007524 (m = 2), A114490 (m = 3), A114493 (m = 4), A153268 (m = 5), A153496 (m = 6), A153620 (m = 7), A153790 (m = 8), this sequence, A154182 (m = 11), A154203 (m = 12), A154368 (m = 13), A154478 (m = 14), A154580 (m = 15), A154794 (m = 16), A154860 (m = 17), A154953 (m = 18), A155062 (m = 19), A155522 (m = 20), A155677 (m = 21), A155746 (m = 22), A155830 (m = 23), A155979 (m = 24).

RealDigits[N[Log[10, 9], 150]] (* Stefan Steinerberger, Mar 14 2006 *)

log(9)/log(10) \\ R. J. Mathar, Mar 11 2008

Equals A016632 / A002392 . - R. J. Mathar, Mar 11 2008

More terms from Stefan Steinerberger, Mar 14 2006

More terms from R. J. Mathar, Mar 11 2008

A153268 Decimal expansion of log_10 (5).

Original entry on oeis.org

6, 9, 8, 9, 7, 0, 0, 0, 4, 3, 3, 6, 0, 1, 8, 8, 0, 4, 7, 8, 6, 2, 6, 1, 1, 0, 5, 2, 7, 5, 5, 0, 6, 9, 7, 3, 2, 3, 1, 8, 1, 0, 1, 1, 8, 5, 3, 7, 8, 9, 1, 4, 5, 8, 6, 8, 9, 5, 7, 2, 5, 3, 8, 8, 7, 2, 8, 9, 1, 8, 1, 0, 7, 2, 5, 5, 7, 5, 4, 9, 0, 5, 1, 3, 0, 7, 2, 7, 4, 7, 8, 8, 1, 8, 1, 3, 8, 2, 7

Offset: 0

N. J. A. Sloane, Oct 30 2009

			.69897000433601880478626110527550697323181011853789145868957...

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_10(m): A007524 (m=2), A114490 (m=3), A114493 (m=4), this sequence, A153496 (m=6), A153620 (m=7), A153790 (m=8), A104139 (m=9), A154182 (m=11), A154203 (m=12), A154368 (m=13), A154478 (m=14), A154580 (m=15), A154794 (m=16), A154860 (m=17), A154953 (m=18), A155062 (m=19), A155522 (m=20), A155677 (m=21), A155746 (m=22), A155830 (m=23), A155979 (m=24).

RealDigits[Log[10, 5], 10, 100][[1]] (* Vincenzo Librandi, Sep 10 2013 *)

log(5)/log(10) \\ Charles R Greathouse IV, Aug 04 2020

Equals 1/A154156. - R. J. Mathar, Jul 31 2025

A153790 Decimal expansion of log_10 (8).

Original entry on oeis.org

9, 0, 3, 0, 8, 9, 9, 8, 6, 9, 9, 1, 9, 4, 3, 5, 8, 5, 6, 4, 1, 2, 1, 6, 6, 8, 4, 1, 7, 3, 4, 7, 9, 0, 8, 0, 3, 0, 4, 5, 6, 9, 6, 4, 4, 3, 8, 6, 3, 2, 5, 6, 2, 3, 9, 3, 1, 2, 8, 2, 3, 8, 3, 3, 8, 1, 3, 2, 4, 5, 6, 7, 8, 2, 3, 2, 7, 3, 5, 2, 8, 4, 6, 0, 7, 8, 1, 7, 5, 6, 3, 5, 4, 5, 5, 8, 5, 1, 6

Offset: 0

N. J. A. Sloane, Oct 30 2009

			.90308998699194358564121668417347908030456964438632562393128...

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_10(m): A007524 (m=2), A114490 (m=3), A114493 (m=4), A153268 (m=5), A153496 (m=6), A153620 (m=7), this sequence, A104139 (m=9), A154182 (m=11), A154203 (m=12), A154368 (m=13), A154478 (m=14), A154580 (m=15), A154794 (m=16), A154860 (m=17), A154953 (m=18), A155062 (m=19), A155522 (m=20), A155677 (m=21), A155746 (m=22), A155830 (m=23), A155979 (m=24).

RealDigits[Log[10, 8], 10, 100][[1]] (* Vincenzo Librandi, Sep 10 2013 *)

log(8)/log(10) \\ Charles R Greathouse IV, Aug 04 2020

cp's OEIS Frontend

A154580 Decimal expansion of log_10 (15).

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A114490 Decimal expansion of log_10(3).

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A154203 Decimal expansion of log_10 (12).

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A114493 Decimal expansion of log_10(4).

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A153620 Decimal expansion of log_10 (7).

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A153496 Decimal expansion of log_10 (6).

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A154182 Decimal expansion of log_10 (11).

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A104139 Decimal expansion of log_10(9).

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