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A114493 Decimal expansion of log_10(4). 24
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
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
LINKS
Eric Weisstein's World of Mathematics, Catalan Number
Eric Weisstein's World of Mathematics, Central Binomial Coefficient
Wikipedia, Decibel
FORMULA
A016627 divided by A002392. Two times A007524. - R. J. Mathar, Feb 21 2013
EXAMPLE
0.602059991...
MAPLE
log10(4.0) ; # R. J. Mathar, Feb 21 2013
MATHEMATICA
RealDigits[Log[10, 4], 10, 100][[1]] (* Vincenzo Librandi, Sep 10 2013 *)
PROG
(PARI) log(4)/log(10) \\ Charles R Greathouse IV, Aug 04 2020
CROSSREFS
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).
Sequence in context: A304334 A303535 A269340 * A367309 A081823 A081802
KEYWORD
nonn,cons,easy
AUTHOR
Eric W. Weisstein, Dec 01 2005
STATUS
approved

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Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)